2

Set 4: Triangles

Explanation

Answer: B

Emily is designing a triangular kite. Two angles measure 31° and 66°. Find the measure of the remaining angle.

A.

73

B.

83

✓ Correct
C.

93

D.

41

Detailed Explanation

Choice B is correct. The sum of angles in a triangle is always 180°. 1. Two known angles: 31° + 66° = 97° Third angle: 180° - 97° = 83° Therefore, the third angle is 83°.

Key Steps:

The correct answer is 83

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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