Question

In a parallelogram PQRS.If angle R=70° Find the all the angle​

Answer 1

All angles of a parallelogram PQRS

P = 110°

Q = 70°

R = 70°

S = 110°

Step-by-step explanation:

GIVEN

R = 70°

___________________________

TO FIND

All angles of a parallelogram PQRS

___________________________

We know that,

Interior opposite angles of a parallelogram are equal

Q = R ( Interior Opposite Angles )

R = 70°

Q = 70°

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We know that,

Sum of all interior angles of a quadrilateral is 360°

P + Q + R + S

P + Q + R + S = 360°

We know that,

P = S

So

Let's take P = x S = x

We know that,

P + Q + R + S = 360°

x + 70° + 70° + x = 360°

2x + 140° = 360°

2x = 360 - 140

2x = 220

x = 220 / 2

x = 110

x = 110°

P = 110°

S = 110°

___________________________

All angles of a parallelogram PQRS

P = 110°

Q = 70°

R = 70°

S = 110°

Answer 2

Step-by-step explanation:

in parallelogram opposite angles are equal and the sum of adjacent angles is 180°

so, the opposite of angle r is angles

so, angle s =70°

angle Q is adjacent angle so the sum is 180°

angle Q+70°=180°

angle Q =110°

angle p=110°