Question

The sum of the measures of two exterior angles of a triangle is 264 degrees. What is the measure of the third exterior angle?

Answer 1

the sum of exterior angles in a triangle is 360 degrees.

given,

the sum of two exterior angles is 264 degrees.

let the third angle be x degree.

so,

x+264=360

x=360-264=96

so the third exterior angle is 96 degrees.

Answer 2

Given - Sum Of two exterior angles

Find - Third exterior angle

Solution - The third exterior angle is 96°.

The sum of all the exterior angles of the triangle is 360°. Let the third exterior angle of the triangle be x.

So, 264° + x = 360°

Shifting value on Left Hand Side to Right Hand Side.

x = 360° - 264°

Performing subtraction to find the value of x-

x = 96°

Thus, the third exterior angle is 96°.