Answer:
The answer is 58°.
Step-by-step explanation:
☆m<D and m<G are supplementary angles, meaning they equal 180°.
☆The equation: [tex]2w + 5w - 23 = 180[/tex]
☆Let's solve it.
[tex]2w + 5w - 23 = 180 \\ 7w - 23 = 180 \\ \frac{ \: \: \: \: \: \: \: \: \: + 23 = + 23}{ \frac{7w}{7} = \frac{203}{7} } \\ w = 29[/tex]
☆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.
[tex]m < d \\ 2w\\ 2(29) \\ 58[/tex]
☆m<D equals 58, so m<F equals 58.
