McGraw Hill My Math Grade 4 Chapter 14 Lesson 6 Answer Key Draw Angles

All the solutions provided in McGraw Hill My Math Grade 4 Answer Key PDF Chapter 14 Lesson 6 Draw Angles will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 4 Answer Key Chapter 14 Lesson 6 Draw Angles

You have used a protractor to measure angles. A protractor can also be used to draw the angles of a given measure.

Math in My World

Example 1

A traffic sign shows an 80° angle. Draw an 80° angle.

1. Draw one ray of the angle.
Mark the endpoint and draw a ray.

2. Measure the angle.
Place the protractor along the ray as you would to measure an angle. On the protractor, find 80°, and make a pencil mark.

3. Draw the next ray of the angle.
Use a ruler to draw the ray that connects the endpoint and the pencil mark.
Draw your 80° angle below.

Answer:

Below are the steps to follow to draw an angle mentioned in the question using a protractor:
Step 1: Mark the endpoint and draw a ray.
Step 2: Place the protractor along the ray as you would to measure an angle. On the protractor, find 80°, and make a mark.
Step 3: Draw the ray that connects the endpoint and the mark. This will give you the required angle.

Example 2

Draw an angle that is greater than 10° and less than 30°. Measure and classify the angle.

Find 10° and 30° on the protractor. Draw an angle between the two measurements. Then measure the angle drawn.
So, the angle drawn is _____________. It is a(n) _____________ angle.
Answer: So, the angle drawn is 20 degrees. It is a(n) acute angle.

Below are the steps to follow to draw an angle mentioned in the question using a protractor:
Step 1: Mark the endpoint and draw a ray.
Step 2: Place the protractor along the ray as you would to measure an angle. On the protractor, find 20°, and make a mark.
Step 3: Draw the ray that connects the endpoint and the mark. This will give you the required angle.

Talk Math

Describe how you would draw a 90° angle without using a protractor.

Answer:

We can construct any angle using compass, without using a protractor. Observe the above figure, where it was constructed using compass. Below are the steps to follow to construct 90 degrees without using a protractor.
Step 1: Draw a line of any length and label its endpoints as A and B.
Step 2: Using the compass and with any width as radius and with A as a center, draw an arc that cuts the line AB at a point and label it as C.
Step 3: With the same radius and with point C as the center, draw an arc that cuts the previous arc and name it D.
Step 4: With D as a center and with the same radius draw another arc and name it as E.
Step 5: With the same radius and with D and E as centers, draw two arcs that cut each other at a point and label it as F.
Step 6: Now join the points F and A. Now we can observe that angle FAB = 90°.

Guided Practice

Draw an angle for each measure.

Question 1.
20°
Answer:

Below are the steps to follow to draw an angle mentioned in the question using a protractor:
Step 1: Mark the endpoint and draw a ray.
Step 2: Place the protractor along the ray as you would to measure an angle. On the protractor, find 20°, and make a mark.
Step 3: Draw the ray that connects the endpoint and the mark. This will give you the required angle.

Question 2.
45°
Answer:

Below are the steps to follow to draw an angle mentioned in the question using a protractor:
Step 1: Mark the endpoint and draw a ray.
Step 2: Place the protractor along the ray as you would to measure an angle. On the protractor, find 45°, and make a mark.
Step 3: Draw the ray that connects the endpoint and the mark. This will give you the required angle.

Question 3.
100°
Answer:

Below are the steps to follow to draw an angle mentioned in the question using a protractor:
Step 1: Mark the endpoint and draw a ray.
Step 2: Place the protractor along the ray as you would to measure an angle. On the protractor, find 100°, and make a mark.
Step 3: Draw the ray that connects the endpoint and the mark. This will give you the required angle.

McGraw Hill My Math Grade 4 Chapter 14 Lesson 6 My Homework Answer Key

Practice

Draw an angle for each measure.

Question 1.
65°
Answer:

Below are the steps to follow to draw an angle mentioned in the question using a protractor:
Step 1: Mark the endpoint and draw a ray.
Step 2: Place the protractor along the ray as you would to measure an angle. On the protractor, find 65°, and make a mark.
Step 3: Draw the ray that connects the endpoint and the mark. This will give you the required angle.

Question 2.
140°
Answer:

Below are the steps to follow to draw an angle mentioned in the question using a protractor:
Step 1: Mark the endpoint and draw a ray.
Step 2: Place the protractor along the ray as you would to measure an angle. On the protractor, find 140°, and make a mark.
Step 3: Draw the ray that connects the endpoint and the mark. This will give you the required angle.

Question 3.
80°
Answer:

Below are the steps to follow to draw an angle mentioned in the question using a protractor:
Step 1: Mark the endpoint and draw a ray.
Step 2: Place the protractor along the ray as you would to measure an angle. On the protractor, find 80°, and make a mark.
Step 3: Draw the ray that connects the endpoint and the mark. This will give you the required angle.

Question 4.
35°
Answer:

Below are the steps to follow to draw an angle mentioned in the question using a protractor:
Step 1: Mark the endpoint and draw a ray.
Step 2: Place the protractor along the ray as you would to measure an angle. On the protractor, find 35°, and make a mark.
Step 3: Draw the ray that connects the endpoint and the mark. This will give you the required angle.

Question 5.
greater than 5° and less than 25°
Answer:

Below are the steps to follow to draw an angle mentioned in the question using a protractor:
Step 1: Mark the endpoint and draw a ray.
Step 2: Place the protractor along the ray as you would to measure an angle. On the protractor, find 20°, which is greater than 5° and less than 25°, and make a mark.
Step 3: Draw the ray that connects the endpoint and the mark. This will give you the required angle.

Question 6.
greater than 90° and less than 120°
Answer:

Below are the steps to follow to draw an angle mentioned in the question using a protractor:
Step 1: Mark the endpoint and draw a ray.
Step 2: Place the protractor along the ray as you would to measure an angle. On the protractor, find 100°, which isgreater than 90° and less than 120°, and make a mark.
Step 3: Draw the ray that connects the endpoint and the mark. This will give you the required angle.

Problem Solving

Question 7.
Mathematical PRACTICE Be Precise Classify the angle in Exercise 3 as acute, right, or obtuse.
Answer: Acute angle
The angle mentioned in question 3 is 80 degrees is an acute angle, as it is less than 90 degrees.

Question 8.
Lila draws a 145° angle. Then she divides it into three smaller angles. One of the smaller angles measures 65°, and the other two are equal in measure. What is the measure of the other two angles?
Answer: the measure of the other two angles is 40 degrees each.
Lila draws a 145° angle. Then she divides it into three smaller angles. One of the smaller angles measures 65°, and the other two are equal in measure.
The other two angles = 145 – 65 = 80 degrees
Therefore, the other two angles which are equal in measure = 40 degrees each.

Test Practice

Question 9.
Which is the correct drawing of a 160° angle?

Answer: D
As measured with the protractor, option D is 160 degrees.