Question

what will be the measure of the exterior angle,if the ratio of the measures of interior angles of a triangle is 3:5:7 ?​

Answer 1

Step-by-step explanation:

let the interior angles 3x, 5x, and 7x,

atq

3x+5x+7x =180 degree (angle sum property of triangle)

or 15x=180

or x= 180÷15

or x = 12

hence the angles are 3×12 =36 degree

5×12=60 degree and 7×12=84 degree

Now

36+60=96( exterior angle property of triangle)

Hence the exterior angle of triangle is 96