Question

Help Please!!

Find the value of the missing angle.

Include your work please and thank you!

Answer 1

The formula of the sum of the measures of the interior angles of a polygon:

`(n-2)(180^o)`

We have the pentagon → n = 5.

Sustitute:

`(5-2)(180^o)=(3)(180^o)=540^o`

Therefore we have the equation:

`67^o+152^o+130^o+76^o+x^o=540^o\\\\425^o+x^o=540^o\qquad|\text{subtract 425^o from both sides}\\\\\boxed{x^o=115^o}`

Answer: x = 115