Question

PQRS is a parallelogram in which ∟P = 115O . Find the measure of each of the angle.​

Answer 1

Answer:

We know that, opposite angles of a parallelogram are equal.

:: ZQ = ZS

⇒ 4x5= 3x + 10

⇒ 4x - 3x = 10+5

⇒ x = 15

→ ZQ = (4x - 5)º = (4 × 15-5)° = 55°

We know that, sum of adjacent angles of parallelogram is 180°

⇒ ZQ+Z/R = 180°

55° + ZR = 180°

.. ZR = 125⁰