Question

EGHF is a parallelogram . Find x,y,z .​

Answer 1

Step-by-step explanation:

Here is your answer...

Angle EGE = Angle HFG

( Alternate Interior Angles )

Therefore, y = 40°

Now,70°+Angle FGH =180°

( Linear pair )

Angle FGH =180°- 70°

= 110°

Now in Δ FGH

BY ANGLE SUM PROPERTY

Angle ( F+G+H ) = 180°

40°+110°+AngleG= 180°

Angle G = 180°-150°

Angle G = 30°= z

z=Angle GFE=30°

( Alternate interior Angles )

Now in Δ EFG

BY ANGLE SUM PROPERTY

Angle ( E+F+G) = 180°

30°+40°+AngleE= 180°

Angle E = 180°-70°

Angle E = 110°= x

Your answer is...

X= 110° Y= 40° and Z= 30°