9

Set 2: Triangles

Explanation

Answer: B

In a triangular roof design, two of the angles measure 60° and 45°. What is the measure of the third angle?

A.

65

B.

75

✓ Correct
C.

37

D.

85

Detailed Explanation

Choice B is correct. The sum of angles in a triangle is always 180°. 1. Two known angles: 60° + 45° = 105° Third angle: 180° - 105° = 75° Therefore, the third angle is 75°.

Key Steps:

The correct answer is 75

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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