Answer:
mAngleFDE = 92°
Explanation:
Angle BDC and Angle FDB are supplementary angles, that is they add up to 180° So we can write an equation. Solve for x. Then find AngleBDC. AngleBDC and AngleFDE are equal because they are vertical angles.
8x+12+12x-32 = 180°
Combine like terms.
20x - 20 = 180
Add 20.
20x = 200
Divide by 20.
x = 10
AngleBDC
= 8x + 12
= 8(10) + 12
= 80 + 12
= 92°
AngleFDE
= AngleBDC
= 92°
Looks like the picture is not drawn to scale, but no worries. The math is all good.