Question

Please help and explain how you find the answer I really am trying to understand

Answer 1

Answer:

mEFD= 90°

mEHF=130°

mHFG=55°

mG=75°

mE=15°

Step-by-step explanation:

mEFD: as you see on the other side of that mEFD there is a right angle. A right angle is =to 90°. An angle on the other side of it has to add up to the 90° angle to equal 180°. Therefore, it equals 90° because 180-90=90

mEHF: so mEHF (or c°) has an angle of 50° on the other side of it. angle c° plus 50° has to equal 180°. Therefore, c°=130 because 180-50=130

mHFG: This one is fairly simple. Since there is already a right angle (90°) when 35°is added to b°, you can figure this out by simple algebra. 90-35=55. The answer to mHFG (b°)= 55°

mG: Now that we know that b°=55° and we have the other angle of the triangle at 50, we just need to add all the angles to equal 180°. so we get 55+50+a°=180. This brings us to a°=180-105. So a°=75°.

mE: since we now know what °c equals (130°) we can solve the answer by equating 130+35+d°=180. we can move 165 on the other side to get d°=180-165. Therefore, d°=15°