5

Set 2: Triangles

Explanation

Answer: C

Jack is designing a triangular kite. Two angles measure 38° and 46°. Find the measure of the remaining angle.

A.

106

B.

48

C.

96

✓ Correct
D.

86

Detailed Explanation

Choice C is correct. The sum of angles in a triangle is always 180°. 1. Two known angles: 38° + 46° = 84° Third angle: 180° - 84° = 96° Therefore, the third angle is 96°.

Key Steps:

The correct answer is 96

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.
D: This would give an incorrect result. Choice D is incorrect and may result from a calculation error.

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