find value of x in parallelogram
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Step-by-step explanation:
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Answered by
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Answer:
5x + 2x +12 = 180° [by co -interior angle]
Step-by-step explanation:
2x−7
o
=4x−21
o
(Since opposite angles of a parallelogram are equal)
⇒4x−2x=21
o
−7
o
⇒2x=14
⇒x=7
o
∠D=2x−7
o
=2×7
o
−7
o
=7
∘
∠B=4x−21
o
=4×7
o
−21
o
=7
∘
Now, ∠A+∠D=180
∘
⇒∠A+7
∘
=180
∘
⇒∠A=180
∘
−7
∘
⇒∠A=173
∘
∠C=∠A=173
∘
(Since opposite angles of a parallelogram are equal)
Therefore ∠A=∠C=173
∘
and ∠B=∠D=7
i hope its helpful
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