Question

What is the value of x? Then determine the measure of each angle.

Answer 1

x = 14° || each angle has 108°

Step-by-step explanation:

first we need to find the total interior angle of this shape:

formula: ( n - 2 ) * 180 ..............where n is the number of sides

( 5 -2 ) * 180

540°

if all sides in the shape are equal, they must have same angle of 9x -18

5 ( 9x -18 ) = 540°

9x -18° = 108°

9x = 108° + 18°

9x = 126°

x = 14°

So each angle has: 9x - 18

9(14) - 18

108°