Question

What is the measure of S?

Answer 1

Here's something good to remember..

The interior angles of any polygon add up to ...

\[\large (n - 2) \times 180\]

where 'n' is the number of sides of your polygon
So here...we have 5 sides...so

\[\large (5 - 2) \times 180\]
\[\large 3 \times 180\]
\[\large 540^\circ\]

So if the interior angles add up to 540....and we have

\[\large 133 + 94 + 111 + 107 = 445\]

If we have 445 and we need 540...we have

\[\large 445 + x = 540\]
\[\large x = 540 - 445\]
\[\large x = \space ?\]

Answer 2

thanks, I finished the test earlier though :)