Question

An exterior angle of a triangle is 75 and one of its interior

opposite angle is 35. Find the measure of the other interior

Opposite angle.?​

Answer 1

Answer:

exterior angle = sum of 2 opposite interior angles

let the unknown angle is z

then

75= 35+z

by transferring 35 towards left

75 - 35 = z

40⁰= z

therefore the value of z is 40 so angle is also 40⁰

Answer 2

let the interior angle be x

x+35=75 (interior angle of an isosceles triangle are equal to the exterior angle of an isosceles triangle )

x=75‐35

x=40