Question

In parallelogram PQRS, ∠= 4 times ∠Q. Find all the angles of parallelogram

Answer 1

Step-by-step explanation:

As per the given in question , we draw a figure parallelogram PQRS

we know that , ∠SPQ + ∠PQR = 180°

⇒ 4 ∠PQR + ∠PQR = 180°

⇒ 5 ∠PQR = 180°

⇒ ∠PQR =

180°

= 36°

5

∴ ∠SRQ = 180° – 36° = 144°