Question

Parrellelogram "BEST" is given below. Find the measurement of angle x and angle y.​

Answer 1

Step-by-step explanation:

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Answer 2

We know that, in a parallelogram consecutive angles are supplementary,

i.e.- ∠B = ∠T

∠E = ∠S

∠B = ∠E

∠T = ∠S

And, opposite angles are congruent

i.e.- ∠T ≅ ∠E

∠B ≅ ∠S

( you can refer the attached image )

∴ ∠T = 100° = ∠E (x)

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∵ ∠T and ∠S are supplementary

∴ ∠T + ∠S= 180°

⇒ 100°+ ∠S = 180°

⇒ ∠S = 180°-100°

⇒ ∠S = 80°

And ∠y = 180°-∠S

∠y = 100°

Therefore,

∠x = 100° and ∠y = 100°

Hope this helps :D