In the parallelogram PQRS
<h3>What is defined as the parallelogram?</h3>
- 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 = 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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