Question

Please help, thanks!

Answer 1

`x=99^(\circ),\\y=81^(\circ)`

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)}`