Question

DIagonals of a quadrilateral PQRS bisect each other. If angle P=45°, determine,angle-Q

Answer 1

angle P+Q=180degree (co-interior angle)
45degree+Q=180degree
Q=180-45 degree
Q=135 degree

Answer 2

Answer:

Angle Q = 135degrees

Step-by-step explanation:

Given: Quadrilateral PQRS  

            Diagonals of PQRS bisect each other

            Angle P = 45degrees

To find: Angle Q

Solution -

Angle P + Angle Q = 180degrees (co-interior angles)

145 degrees + Angle Q = 180 degrees

Angle Q = 180 degrees - 45 degrees

Angle Q = 135 degrees