Question

A pentagon has angles that measure 70 degrees 100 degrees 120 degrees 140 degrees and h. What is h

Answer 1

h = 110°

Explanation:

1) A pentagon has 5 sides that sum up to 540°. We know it is 540° because of this formula that is used to find the sum of the interior angles of any polygons. n is the number of sides.

= (n - 2) x 180

= (5 - 2) x 180

= 3 x 180

= 540°

2) We can now set up an equation.

70 + 100 + 120 + 140 + h = 540

430 + h = 540

h = 540 - 430

h = 110°