Question

Please help me really quick really confused 13 points!

Answer 1

The interior angles of a triangle all add up to 180°. In fact, for any n-sided polygon, the sum of the measures of the interior angles is 180°(n–2).

So, these three angles must add up to 180°.

That means, m∠A + m∠B + m∠C = 180°.

Substituting our known values, we write
`35 + 52 + 3(x+2)=180`.

We then simplify this expression to solve for x. (Alternately, you could solve for m∠C first, but it's clearer to first solve for x.)


`3x+6=93 \\ x=29`

Then, to find m∠C, substitute 29° for x in
`3(x+2)` to get 93°.

(a) 29
(b) 93°