Question

Diagonals of a quadrilateral PQRS bisect each other. If angle p = 40 degree determine angle Q.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given:

• PQRS is a quadrilateral.
• ∠P = 40°

To Find:

• To determine ∠Q.

Solution:

• We have a PQRS as quadrilateral in which diagonals are drawn which bisect each other.
• So, PQRS is actually a parallelogram in which the sum of adjacent angles should be equal to 180°
• The two adjacent angles are ∠P and ∠Q.
• So, ∠P+∠Q = 180°
• 40 + ∠Q = 180 ⇒ ∠Q = 180-40
• ∠Q = 140°

The angle of Q is 140°