Question

∠DMF is bisected by ray -> MG where m ∠DMG = (4x) ° and m ∠DMF = (2x+24) ° .

Sketch a diagram that could be used to represent this situation.

Find the value of x.

Find m ∠DMG

FIND m ∠DMF

Answer 1

Explanation:

as MG is an angle bisector therefore

∠DMG = ∠GMF

we can say that

∠GMF = 4x as well

∠DMG + ∠GMF = ∠DMF

4x + 4x = 2x + 24

8x = 2x + 24

8x - 2x = 24

6x = 24

x = 24/6

x = 4°

Value of X is 4°

∠DMG = 4x = 4(4) = 16°

∠DMF = x + 24° = 4 + 24 = 28°