Question

in a parallelogram pqrs, angle p is twice that of angle q. find all the angle of the parallelogram.​

Answer 1

Answer:

2p=q

But side PQ ll RS

p+2p=180

3p=180

p=180/3

p=60

q=2*60

q=120

As there is property in rectangle that,

Opposite angle of paralleogram are equal

p=r

r=120

s=60

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Answer 2

The angles are 120°, 60°, 120°, 60°.

Step-by-step explanation:

Since we have given that

PQRS is a parallelogram,

angle p is twice that of angle q.

So, it becomes,

$\angle p=2\angle q$

As we know that

Sum of adjacent angles = 180°

$\angle p+\angle q=180^\circ\\\\2\angle q+\angle q=180^\circ\\\\3\angle q=180^\circ\\\\\angle q=60^\circ$

So, $\angle p=2\times 60=120^\circ$

Hence, the angles are 120°, 60°, 120°, 60°.

# learn more:

In a parallelogram pqrs, angle p is twice that of angle q. find all the angle of the parallelogram.​

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