Question

Use the Triangle Angle Sum Theorem to find the measures of the missing angles of this triangle. What are the measures of each angle of this triangle?%0D%0A*%0D%0A2 points%0D%0A%0D%0A45°, 45°, 90°%0D%0A27.5°, 62.5°, 90°%0D%0A32.2°, 57.8°, 90°%0D%0A40°, 50°, 90°

Answer 1

The Triangle Angle Sum Theorem states that the sum of the three angles in a triangle is always 180 degrees.

In the triangle with angles 45°, 45°, and 90°, the sum is 45° + 45° + 90° = 180°. Therefore, the measures of each angle are 45°, 45°, and 90°.

In the triangle with angles 27.5°, 62.5°, and 90°, the sum is 27.5° + 62.5° + 90° = 180°. Therefore, the measures of each angle are 27.5°, 62.5°, and 90°.

In the triangle with angles 32.2°, 57.8°, and 90°, the sum is 32.2° + 57.8° + 90° = 180°. Therefore, the measures of each angle are 32.2°, 57.8°, and 90°.

In the triangle with angles 40°, 50°, and 90°, the sum is 40° + 50° + 90° = 180°. Therefore, the measures of each angle are 40°, 50°, and 90°.

Therefore, the correct answer is:

40°, 50°, 90°.