Question

work out the angle size of x and give your reason why

Answer 1

Answer:

x = 80°

Explanation :

AD and EH are parallel lines while CG is the transversal.

So, Angle CBD = Angle BFH [ Corresponding angles]

x + Angle CBD = 180° [ LINEAR PAIR]

x + 100 = 180

x = 180 - 100

x = 80°

Answer 2

ANSWER:-

GIVEN:

__________

AD || EH

angle CBD=100°

angle EFB=x°

TO FIND:

___________

the value of x°

SOLUTION WITH REASON:

__________________________________

In the question AD || EH

so angle DBF = EFB ( alternate angle)

CG is a straight line . That's why,

angle CBD+ angle DBF =180°

=>DBF =180° - CBD

=>DBF= 180° -100°

=>DBF=80°

DBF=EFB=80°

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