Question

In the figure PQRS is a parallelogram. Find the values of ,
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Answer 1

Answer:

∠p=90°

So 90-52=38°

∠Z=38°

∠SRP=38[ALTERNATE INTERIOR ANGLE]

∠Y+38=180°[LINEAR PAIR]

∠Y=180-38

∠Y=142°

2X+4+3X-2=360°[ANGLE SUM PROPERTY OF PARALLELOGRAM]

5X+4-2=360

5X+2=360

5X=360-2

5X=358

X=358÷5

X=71

Putting value of x=

3X-2

3×71-2=211

2×71+4=146

Step-by-step explanation:

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