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Angle A of triangle ABC exceeds angle B by 24°, and angle B exceeds angle C by 18°. Find ∠A.

Competition practiceGeometry

A82°
B58°
C40°
D76°

Step-by-Step Solution

Let ∠

B = b

. Then ∠

A = b + 24

and ∠

C = b - 18

, so

3 b + 6 = 180, b = 58

° and ∠

A = 82

°.

Answer: A) 82°

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