Question

How do you do this and the answer plz?

Answer 1

Wait so the angle for corner F?

Answer 2

The answer is 58°.

Explanation:

☆m<D and m<G are supplementary angles, meaning they equal 180°.

☆The equation:
`2w + 5w - 23 = 180`

☆Let's solve it.

`2w + 5w - 23 = 180 \\ 7w - 23 = 180 \\ ( \: \: \: \: \: \: \: \: \: + 23 = + 23)/( (7w)/(7) = (203)/(7) ) \\ w = 29`

☆m<D and m<F is congruent, meaning they equal the same.

☆Solving for D is basically solving for F.

☆We found the value of w so let's plug it in into 2w.

`m < d \\ 2w\\ 2(29) \\ 58`

☆m<D equals 58, so m<F equals 58.