Question

Please help, thanks!

Answer 1

Answer:

$x=99^{\circ},\\y=81^{\circ}$

Step-by-step explanation:

The sum of the interior angles of a polygon with $n$ sides is $180(n-2)$. Since the shape in the figure has 5 sides, the sum of its interior angles is $180(5-2)=180\cdot 2=540^{\circ}$.

Therefore, we can set up the following equation:

$95+125+105+116+x=540,\\441+x=540,\\x=\boxed{99^{\circ}}$

Since $\angle x$ and $\angle y$ make up one side of a line, they are supplementary, as each side of a line is $180^{\circ}$.

Thus, we have:

$x+y=180,\\99+y=180,\\y=\boxed{81^{\circ}}$