3

Set 5: Triangles

Explanation

Answer: B

In a triangular roof design, two of the angles measure 33° and 38°. What is the measure of the third angle?

A.

54

B.

109

✓ Correct
C.

99

D.

119

Detailed Explanation

Choice B is correct. The sum of angles in a triangle is always 180°. 1. Two known angles: 33° + 38° = 71° Third angle: 180° - 71° = 109° Therefore, the third angle is 109°.

Key Steps:

The correct answer is 109

Why others are wrong:
A: This would give an incorrect result. Choice A is incorrect and may result from a calculation error.
C: This would give an incorrect result. Choice C is incorrect and may result from a calculation error.
D: This would give an incorrect result. Choice D is incorrect and may result from a calculation error.

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