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The exterior angles of a triangle measure $(x + 20)$ °, $(2 x - 10)$ ° and $(x + 30)$ °. What is the largest interior angle?

Class 9Exterior Angle of a TriangleGeometry — Lines and Angles

A150°
B70°
C100°
D80°

Step-by-Step Solution

Sum =

4 x + 40 = 360

, so

x = 80

. Exterior angles 100°, 150°, 110°; interior angles 80°, 30°, 70°. Largest interior = 80°.

Answer: D) 80°

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