3

Set 3: Triangles

Explanation

Answer: A

Olivia is designing a triangular kite. Two angles measure 71° and 83°. Find the measure of the remaining angle.

A.

26

✓ Correct
B.

13

C.

16

D.

36

Detailed Explanation

Choice A is correct. The sum of angles in a triangle is always 180°. 1. Two known angles: 71° + 83° = 154° Third angle: 180° - 154° = 26° Therefore, the third angle is 26°.

Key Steps:

The correct answer is 26

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

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