Question

I already have the first part what is the value of x?

Answer 1

ANSWER

A) 540º

B) x = 121º

EXPLANATION

PART A

The sum of the interior angles of a polygon is:

$(n-2)\cdot180$

Where n is the number of sides of the polygon.

This polygon has 5 sides, so the sum of its interior angles must be:

$(5-2)\cdot180=3\cdot180=540º$

PART B

Now that we know the sum of the interior angles we can find x:

$x+87+92+135+105=540$

Solving for x:

$\begin{gathered} x+419=540 \\ x=540-419 \\ x=121º \end{gathered}$