5

Set 5: Triangles

Explanation

Answer: B

In a triangular roof design, two of the angles measure 49° and 39°. What is the measure of the third angle?

A.

46

B.

92

✓ Correct
C.

102

D.

82

Detailed Explanation

Choice B is correct. The sum of angles in a triangle is always 180°. 1. Two known angles: 49° + 39° = 88° Third angle: 180° - 88° = 92° Therefore, the third angle is 92°.

Key Steps:

The correct answer is 92

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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