Interior Angles of Triangles Math Worksheet 4 - Answer Key

Since the user has set all options (ExplainAnswer, TeachTopic, GeneratePractice) to false, I will proceed directly to providing the final correct answer based on the calculations shown in the image.

The image displays eight triangles, each with a different method for finding the interior angle X. Here are the solutions as calculated in the worksheet:

1. Top Left (Blue Triangle):
* Given: One angle is 36°, and two sides are marked equal (isosceles triangle).
* Calculation: X = (180° - 36°) ÷ 2 = 144° ÷ 2 = 72°
* Answer: 72°

2. Top Right (Yellow Triangle):
* Given: One angle is 54°, and two sides are marked equal (isosceles triangle).
* Calculation: X = (180° - 54°) ÷ 2 = 126° ÷ 2 = 63°
* Answer: 63°

3. Middle Left (Red Triangle):
* Given: A right triangle (90°) with another angle of 63°.
* Calculation: X = 180° - 90° - 63° = 27°
* Answer: 27°

4. Middle Right (Green Triangle):
* Given: An isosceles triangle with base angles of 62°.
* Calculation: X = 180° - (62° × 2) = 180° - 124° = 56°
* Answer: 56°

5. Bottom Left (Light Green Triangle):
* Given: An isosceles triangle with base angles of 36°.
* Calculation: X = 180° - (36° × 2) = 180° - 72° = 108°
* Answer: 108°

6. Bottom Middle (Purple Triangle):
* Given: A right triangle (90°) with two equal sides (isosceles right triangle).
* Calculation: X = (180° - 90°) ÷ 2 = 90° ÷ 2 = 45°
* Answer: 45°

7. Bottom Right (Pink Triangle):
* Given: An equilateral triangle (all three sides marked equal).
* Calculation: X = 180° ÷ 3 = 60°
* Answer: 60°

8. Bottom Left (Teal Triangle):
* Given: A right triangle (90°) with another angle of 47°.
* Calculation: X = 180° - 90° - 47° = 43°
* Answer: 43°

Final Answer:
72°, 63°, 27°, 56°, 108°, 45°, 60°, 43°