TEKS 4.7C Worksheets — Grade 4 Determine the approximate measures of angles in

Sage went on a field trip to Palo Duro Canyon with her class. During the trip, she measured an angle formed by a rock formation with her protractor. She found that the angle was approximately 75 degrees. What is the measure of the angle in degrees that Sage recorded?

1. 75 ✓
2. 70
3. 80
4. 65

Why: To determine the measure of the angle that Sage recorded, we refer to her measurement of 75 degrees using the protractor. Thus, the correct answer is 75 degrees.

Camila is creating a poster for her school project about the Piney Woods in East Texas. She wants to draw an angle that measures approximately 75 degrees using a protractor. If she holds the protractor with the center point at the vertex of the angle and one side aligned with the 0-degree mark, what measurement should she look for on the protractor to draw the other side of the angle?

1. 75 ✓
2. 80
3. 70
4. 90

Why: To find the correct measurement to draw a 75-degree angle, Camila needs to read the protractor at the 75-degree mark after aligning one side of the angle with the 0-degree line. Therefore, the measurement she should use is 75 degrees.

Maria is helping her family plant a garden in their backyard in McAllen, Texas. She uses a protractor to measure an angle for a new flower bed. The angle she measures is 73 degrees. If Maria wants to create another angle that is 17 degrees larger for a different flower bed, what will be the measure of the new angle? Use the diagram below to answer the question.

1. 90 ✓
2. 86
3. 80
4. 95

Why: To find the measure of the new angle, you need to add 17 degrees to the original angle of 73 degrees. So, 73 + 17 = 90 degrees. Therefore, the correct answer is 90 degrees.

Caleb is measuring an angle formed by the branches of a pecan tree in his backyard in Texas. One branch makes an angle of 75 degrees with the ground, while the other branch makes an angle of 30 degrees with the ground. What is the measure of the angle between the two branches? Use the diagram below to answer the question.

1. 45 ✓
2. 105
3. 25
4. 55

Why: To find the angle between the two branches, subtract the smaller angle from the larger angle. Here, we calculate 75 degrees - 30 degrees, which equals 45 degrees. Therefore, the measure of the angle between the two branches is 45 degrees.

Daniela is helping her teacher measure angles in a classroom project. She uses a protractor to measure an angle that is marked as 75 degrees. If she needs to estimate how much bigger the angle would be if it were increased by 15 degrees, what would be the new approximate measure of the angle in degrees?

1. 90 ✓
2. 85
3. 80
4. 95

Why: To find the new measure of the angle, add 15 degrees to the original measure of 75 degrees. So, 75 + 15 equals 90 degrees. Therefore, the new angle measure is approximately 90 degrees.

Camila is making a giant Texas-shaped cookie for her school's bake sale in Waco. She measured the angle of one corner of the cookie and found it to be about 75 degrees. Which of the following angles is closest to the measure Camila found?

1. 75 degrees ✓
2. 80 degrees
3. 70 degrees
4. 90 degrees

Why: Camila measured the angle at 75 degrees. This means that the angle she found is very close to 75 degrees, which is one of the answer choices. The other choices, 80 degrees, 70 degrees, and 90 degrees, are not the correct measure of the angle she observed.

Emma is helping her dad build a wooden birdhouse in their backyard in Texas. They want to make sure the roof has a perfect angle. Emma uses a protractor to measure one angle of the roof, which is 65 degrees. What is the approximate measure of the other angle in degrees if the two angles must add up to 180 degrees?

1. 115 ✓
2. 125
3. 105
4. 95

Why: To find the measure of the other angle, we subtract the measured angle from 180 degrees. So, 180 - 65 = 115 degrees. Therefore, the measure of the other angle is approximately 115 degrees.

Saanvi is helping her dad design a new park in McAllen, Texas. They are looking at a blueprint that shows a triangular picnic area. One angle of the triangle is shown at 65 degrees, and they want to find the measure of the second angle, which is marked at 85 degrees. What is the approximate measure of the third angle in the triangle? Use your protractor to estimate the measure to the nearest whole number.

1. 30 ✓
2. 25
3. 35
4. 20

Why: To find the measure of the third angle in a triangle, we can use the fact that the sum of all angles in a triangle is 180 degrees. We add the two given angles: 65 + 85 = 150 degrees. Then, we subtract this sum from 180 degrees: 180 - 150 = 30 degrees. Therefore, the approximate measure of the third angle is 30 degrees.