Question

in a triangle exterior angle is twice of each of the interior opposite angle the exterior angle is 120 degree find the measure of the three angles of the triangle​

Answer 1

each angle measure is 60 degree.

Exterior angle=120degree

let the two interior angle of one side of triangle is x1 and x 2

2x=120 degree

x= 120/2=60

so angle x 1=60 degree

x2=60 degree we know that the sum of all angle of triangle is 180 degree

let 3rd angle = y

so 60+60+y=180

120+y=180

y=180-120

y=60 degree

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