7

Set 4: Triangles

Explanation

Answer: D

Abigail is designing a triangular kite. Two angles measure 27° and 36°. Find the measure of the remaining angle.

A.

127

B.

58

C.

107

D.

117

✓ Correct

Detailed Explanation

Choice D is correct. The sum of angles in a triangle is always 180°. 1. Two known angles: 27° + 36° = 63° Third angle: 180° - 63° = 117° Therefore, the third angle is 117°.

Key Steps:

The correct answer is 117

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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