3

Set 5: Triangles

Explanation

Answer: A

David is creating a triangular art piece. Two corners have angles of 57° and 71°. What angle should the third corner have?

A.

52

✓ Correct
B.

42

C.

62

D.

26

Detailed Explanation

Choice A is correct. The sum of angles in a triangle is always 180°. 1. Two known angles: 57° + 71° = 128° Third angle: 180° - 128° = 52° Therefore, the third angle is 52°.

Key Steps:

The correct answer is 52

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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