Question

In the figure, find the value of a and b and measure angle Q of the parallelogram PQRS​

Answer 1

Answer:

All the measures are 75 degrees. Hope it helps! PLZ RATE IT. TOOK ME NEARLY 45 MINUTES TO SOLVE AND TYPE.

Explanation:

In ||gm PQRS

There is a triangle PQR

angle PQR + angle QPR +angle PRQ = 180 (Triangle)

x + x + 30 degrees = 180

                          2x = 180 - 30

                            x = 150/2

                               = 75 degrees

Therefore, b degrees = 75 and angle q = 75

So, this is an isosceles triangle

In triangle PSR

angle PSR + angle RPS + angle PRS = 180 (Triangle)

75 + x + 35 = 180 (opp. angles are equal)

                x = 180 - 105

                x =  75

Therefore, angle p = 75 degrees.