Question

Three exterior angles of a pentagon measures 60,80and 90.Find the measure of other two exterior angle, assuming them equally Thanks!​

Answer 1

Given:

The three exterior angles of a pentagon measures 60,80 and 90.

To find:

The measure of other two exterior angle, assuming them equally.

Solution:

Let x be the measure of two other exterior angles of the pentagon.

We know that the sum of all exterior angles of a pentagon is 360 degrees.

`60^\circ+80^\circ+90^\circ+x+x=360^\circ`

`230^\circ+2x=360^\circ`

`2x=360^\circ-230^\circ`

`2x=130^\circ`

Divide both sides by 2.

`(2x)/(2)=(130^\circ)/(2)`

`x=65^\circ`

Therefore, the measures of both exterior angles are 65 degrees.