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In the figure, ∠ $B = x$ , ∠ $A = 2 x$ and the exterior angle at C is 105°. Find the larger of ∠A and ∠ $B$ .

Class 9Exterior Angle of a TriangleGeometry — Lines and Angles

A35°
B75°
C70°
D52.5°

Step-by-Step Solution

x + 2 x = 105

°, so

x = 35

°. The larger angle is ∠

A = 2 x = 70

°. (35° is the smaller angle.)

Answer: C) 70°

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