Question

Two opposite angles of a parallelogram
are (5x-21)° and (x+75)°. find the measure of
each of the angles of the Parallelogram.​

Answer 1

Answer:

$we \: know \: opposite \: angles \: are \\ \: equal \: in \: parallelogram \\ so \: 5x - 21 = x + 75 \\ 5x - x = 75 + 21 \\ 4x = 96 \\ x = \frac{96}{4} \\ x = 24 \\ so \: 5x - 21 = 5(24) - 21 \\ = 99 \\ now \: adjacent \: angle \\ \: are \: supplementry \\ \: in \: parallelogram \\ \\ so \: 99 + y = 180 \\ y = 180 - 99 \\ y = 81 \\ so \: angles \: are \: 81 \: 99 \: 81 \: 99$

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