Examveda

The exterior angle of a triangle is 115° and the corresponding interior opposite angles are in the ratio 2 : 3. The measure of greatest angle of the triangle is:

A. 70°

B. 65°

C. 69°

D. 79°

Answer: Option C

Solution (By Examveda Team)

Geometry mcq question image
5x = 115° (by exterior angle theorem)
x = 23°
2x = 46°
3x = 69°
∠ABC = 65°
The greatest angle = 69°

This Question Belongs to Arithmetic Ability >> Geometry

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