Worksheet 1Worksheet 2Worksheet 3

The download includes this worksheet followed by the answer key with explanations. In the print dialog choose “Save as PDF” to download.

lessonbunny.com
Name: ______________________________ Date: ______________

Angle Measurement

Grade 4 · Measurement · Worksheet 2

  1. A rectangular garden has a length of 12.5 meters and a width of 8.4 meters. What is the perimeter of the garden in meters?
    Answer: ______________
  2. 180° - (35° + 85°) = ? Answer: ______________
  3. 180° - (35° + 90°) = ? Answer: ______________
  4. 180° - (72° + 38°) = ? Answer: ______________
  5. 180° - (45° + 60°) = ? Answer: ______________
  6. A pizza is cut into 8 equal slices. If you take 3 slices, what angle does your portion of pizza make at the center of the pizza? Answer: ______________
  7. Liam is building a triangular birdhouse roof. He measures two angles of the triangular piece and finds they are 85° and 45°. What is the measure of the third angle in Liam's birdhouse roof? Answer: ______________
  8. A clock shows 3:00. Imagine drawing lines from the center of the clock to the 12 and to the 3. What is the angle measure between these two lines? Answer: ______________
lessonbunny.com

Answer Key & Explanations

Angle Measurement · Grade 4 · Worksheet 2

  1. A rectangular garden has a length of 12.5 meters and a width of 8.4 meters. What is the perimeter of the garden in meters? Answer: 41.8 meters Solution: We are given a rectangular garden with length = 12.5 meters and width = 8.4 meters.
    Full step-by-step solution

    Step 1: Understand the problem We are given a rectangular garden with length = 12.5 meters and width = 8.4 meters. The perimeter of a rectangle is the total distance around the outside, which can be found using the formula: Perimeter = 2 × (length + width) Step 2: Add the length and width Length + width = 12.5 + 8.4 First, add the tenths place: 0.5 + 0.4 = 0.9 Then add the whole numbers: 12 + 8 = 20 So, 12.5 + 8.4 = 20.9 meters Step 3: Multiply by 2 Perimeter = 2 × 20.9 2 × 20 = 40 2 × 0.9 = 1.8 So, 40 + 1.8 = 41.8 meters Step 4: Final answer The perimeter of the garden is 41.8 meters.

  2. 180° - (35° + 85°) = ? Answer: 60° Solution: Calculate the sum inside the parentheses: 35° + 85° = 120° Subtract this result from 180°: 180° - 120° = 60° The answer is 60°.
    Full step-by-step solution

    Step 1: Calculate the sum inside the parentheses: 35° + 85° = 120° Step 2: Subtract this result from 180°: 180° - 120° = 60° The answer is 60°.

  3. 180° - (35° + 90°) = ? Answer: 55° Solution: Calculate the sum inside the parentheses: 35° + 90° = 125° Subtract this result from 180°: 180° - 125° = 55° The answer is 55°.
    Full step-by-step solution

    Step 1: Calculate the sum inside the parentheses: 35° + 90° = 125° Step 2: Subtract this result from 180°: 180° - 125° = 55° The answer is 55°.

  4. 180° - (72° + 38°) = ? Answer: 70° Solution: Add the angles inside the parentheses: 72° + 38° = 110° Subtract this sum from 180°: 180° - 110° = 70° The answer is 70°.
    Full step-by-step solution

    Step 1: Add the angles inside the parentheses: 72° + 38° = 110° Step 2: Subtract this sum from 180°: 180° - 110° = 70° The answer is 70°.

  5. 180° - (45° + 60°) = ? Answer: 75° Solution: 180° - (45° + 60°) Perform the addition inside the parentheses. 45° + 60° = 105° Substitute the result back into the expression. 180° - 105° Subtract 105° from 180°.
    Full step-by-step solution

    Let's solve the problem step by step. We have: 180° - (45° + 60°) **Step 1: Perform the addition inside the parentheses.** 45° + 60° = 105° **Step 2: Substitute the result back into the expression.** 180° - 105° **Step 3: Subtract 105° from 180°.** 180° - 105° = 75° **Final Answer:** 75°

  6. A pizza is cut into 8 equal slices. If you take 3 slices, what angle does your portion of pizza make at the center of the pizza? Answer: 135° Solution: A full pizza is a circle, which has 360 degrees at the center. The pizza is cut into 8 equal slices, so each slice has an angle of 360 ÷ 8 = 45 degrees. If you take 3 slices, the total angle is 3 × 45 = 135 degrees.
    Full step-by-step solution

    Step 1: A full pizza is a circle, which has 360 degrees at the center. Step 2: The pizza is cut into 8 equal slices, so each slice has an angle of 360 ÷ 8 = 45 degrees. Step 3: If you take 3 slices, the total angle is 3 × 45 = 135 degrees. The answer is 135°.

  7. Liam is building a triangular birdhouse roof. He measures two angles of the triangular piece and finds they are 85° and 45°. What is the measure of the third angle in Liam's birdhouse roof? Answer: 50° Solution: We know that the sum of all three angles in any triangle is 180°. Add the two given angles: 85° + 45° = 130° Subtract this sum from 180° to find the third angle: 180° - 130° = 50° The measure of the third angle is 50°.
    Full step-by-step solution

    Step 1: We know that the sum of all three angles in any triangle is 180°. Step 2: Add the two given angles: 85° + 45° = 130° Step 3: Subtract this sum from 180° to find the third angle: 180° - 130° = 50° The measure of the third angle is 50°.

  8. A clock shows 3:00. Imagine drawing lines from the center of the clock to the 12 and to the 3. What is the angle measure between these two lines? Answer: 90° Solution: A clock face is a circle, and a full circle has 360 degrees. The numbers 1 through 12 divide the clock into 12 equal sections. To find the angle between two adjacent numbers, divide 360 by 12: 360 ÷ 12 = 30 degrees.
    Full step-by-step solution

    Step 1: A clock face is a circle, and a full circle has 360 degrees. Step 2: The numbers 1 through 12 divide the clock into 12 equal sections. Step 3: To find the angle between two adjacent numbers, divide 360 by 12: 360 ÷ 12 = 30 degrees. Step 4: From 12 to 3, there are 3 sections: 12 to 1, 1 to 2, and 2 to 3. Step 5: Multiply the number of sections by the angle per section: 3 × 30 = 90 degrees. The angle between the lines pointing to 12 and 3 is 90 degrees.