Question

ABCD is a parrelelogram. Find the value of x, y and z​

Answer 1

Answer :

The final answer is ;

∠x = 80°

∠y = 70°

∠z = 30°

Step-by-step explanation :

=> 100° + x = 180° (Linear Pair)

=> x = 180° - 100°

=> x = 80°

=> x + y + 30° = 180° (Angle Sum Property)

=> 80° + y + 30° = 180°

=> 110° + y = 180°

=> y = 180° - 110°

=> y = 70°

=> z = 30° (Alternate Interior Angles)

Therefore ;

∠x = 80°,

∠y = 70°,

∠z = 30°.

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Hope it helps :)

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Answer 2

Answer:

From the figure

AD∥BC,BD is the transversal line

⟹∠ADB=∠DBC (∵alternate angles)

⟹z=30

∘

Also

100

∘

,x are supplementary angles

So x=180

∘

−100

∘

=80

∘

x,y,30

∘

forms a triangle

⟹x+y+30

∘

=180

∘

⟹y=180

∘

−80

∘

−30

∘

=70

∘