Question

The measures of four exterior angles of a pentagon are 65°,55°,70°,and80°,what is the measures of fifth angle​

Answer 1

Answer:

sum of exterior angle of any polygon=360°

=65°+55°+70°+80°+x=360°

=270°+x=360°

=x=90°

Answer 2

Given:

Four exterior angles of a pentagon

To find:

The fifth angle

Solution:

The fifth angle measures 90°.

We are aware that a polygon's exterior angles make up a complete angle.

Let the fifth angle be X.

The polygon's exterior angles' sum=360°

We are given the pentagon's four angles as follows-

65°, 55°, 70°, 80°

On adding these,

65°+ 55°+ 70°+ 80°+X=360°

270°+X=360°

X=360°-270°

X=90°

So, the fifth angle=90°

Therefore, the fifth angle measures 90°.