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?

Question

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2 points

45°, 45°, 90°
27.5°, 62.5°, 90°
32.2°, 57.8°, 90°
40°, 50°, 90°

Answer 1

The Triangle Angle Sum Theorem states that the sum of the interior angles of a triangle is always 180°.

In the first triangle with angles 45°, 45°, and a right angle of 90°, using the theorem we can verify:
45° + 45° + 90° = 180°
So, the measures of each angle of this triangle are 45°, 45°, and 90°.

Therefore, the first option is correct: 45°, 45°, 90°.