Maths / Triangles / Exterior Angle Property

QUESTION
 

An exterior angle of a triangle is 108^0 and its interior opposite angles are in the ratio 4:5.The angles of the triangle are

OPTIONS
A. 

48^0,60^0,72^0

B. 

50^0,60^0,70^0

C. 

52^0,56^0,72^0

D. 

42^0,60^0,76^0

Right Option : A

EXPLANATION
Explain TypeExplanation Content
Text

Let the common factor be x so the angles are 4x and 5x

exterior angle = sum of interior opposite angles

4x + 5x = 108

9x = 108

x = 12

so the angles are 48, 60, 72

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