Question

In quadrilateral PQRS, measures (7x - 2)o . Angle PSR measures (5x + 14 )o. What are the measure of angles PQR and PSR? m = 54o and m = 54o m = 84o and m = 96o m = 90o and m = 90o m = 96o and m = 84o

Answer 1

Answer:

Step-by-step explanation:

Given that PQRS is a parallelogram and angles PSR = 5x+14 and QPS = 7x-2

Since these two are adjacent angles, the sum will be equal to 180

5x+14+7x-2=180

12x=180-12 =168

x=14

Substitute 14 for x to get

QPS= 7x-2 = 98-2 =96

and PSR = 5x+14 = 70+14 = 84

Verify:

Addition of these two come to 180, proving they are supplementary

Hence verified

Answer 2

The correct answer is:

D. m ∠PQR = 96° and m ∠PSR = 84°

The measure of angles PQR and PSR is 96° and 84°.

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