Question

Answer these questions please ?

Answer 1

In the parallelogram PQRS

• PS = 5  and ∠Q  = 105

What is defined as the parallelogram?

• A parallelogram is a type of quadrilateral created by parallel lines.
• A parallelogram's angle between adjacent sides can vary, however the opposite sides must be parallel in order to be a parallelogram.
• A parallelogram is formed when the opposite sides of a quadrilateral are parallel as well as congruent.

For the given question;

In the parallelogram PQRS,

QR = PS = 5 (opposite side of parallelogram are parallel and equal).

Sum of all angles is 360.

∠Q =  ∠S (opposite angles of parallelogram are equal)

∠P + ∠Q + ∠R + ∠S = 360

2∠P + 2∠Q = 360

2∠Q  = 360 - 2∠P

• 2∠Q  = 360 - 150

2∠Q  = 210

∠Q  = 105

Thus, the angle Q is found as 105 degrees.

To know more about the parallelogram, here

brainly.com/question/970600

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