4

Set 2: Triangles

Explanation

Answer: D

In a triangular roof design, two of the angles measure 72° and 40°. What is the measure of the third angle?

A.

58

B.

78

C.

34

D.

68

✓ Correct

Detailed Explanation

Choice D is correct. The sum of angles in a triangle is always 180°. 1. Two known angles: 72° + 40° = 112° Third angle: 180° - 112° = 68° Therefore, the third angle is 68°.

Key Steps:

The correct answer is 68

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

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