Question

the sum of the measurement of two exterior angles of a triangle is 255. what is the measurement of the third exterior angle?

Answer 1

The third exterior angle = 105°

Explanation:

The sum of the exterior angles is 360°

If the sum of the measurement of two exterior angles = 255°

The third exterior angle = 360° - 255° = 105°

Answer 2

The measurement of the third exterior angle is 105°.

Explanation:

The sum of the measures of the exterior angles of a polygon is always 360° ( However it is triangle or rectangle or etc..)

Since, a triangle has three exterior angles,

Given,

The measurement of two exterior angles of a triangle is 255°,

Let x be the third exterior angle,

Then by the above statement,

x + 255° = 360°

x = 360° - 255° = 105°

Hence, the measurement of the third exterior angle is 105°.