Math, asked by Ridhaankotwal0, 1 day ago

Find x if PQRS is a parallelogram

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Answered by diwanamrmznu
6

Solution:-

 \implies \:  \angle \: QRS= \angle \: PRS+ \angle \: PRQ \\  \\  \\  \implies \: \angle \: QRS = 45 \degree + 70 \degree \:  \\  \\  \\   \implies \: \angle \: QRS = 115 \degree \\  \\   \\  \\ \implies \:  \angle \: QRS +  \angle \:PSR = 180 \degree

sum of parallel line interior angle

 \implies \: 7x - 5  + 115 = 180 \\  \\    \\ \implies \: 7x + 110 = 180 \\  \\  \\  \implies \:7x = 180 - 110 \\  \\   \\ \implies \:    x =   \cancel{\frac{70}{7} } \\  \\  \\  \implies \: x = 10

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thank

Answered by kumarireeti53
2

Answer:

hi

please mark brilliant

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