Question

In the given figure MNOP is a parallelogram, diagonal MO and PN intersect at Q, Angle OPQ = 40° and Angle OMN = 30°. Find Angle OQN​

Answer 1

Answer:

Step-by-step explanation:

Angle MNP = Angle POM (Alternate Interior Angles)

So, Angle POM = 30 Degree

angle PQO + 40 + 30 = 180

Angle PQO = 180-70

=110 Degrees

Angle PQO = Angle MQN & Angle PQM = Angle OQN (Vertically Opposite Angles)

Angle( PQM+PQO+MQN+OQN) = Angle( 2PQO+2OQN)= 360

220 + 2OQN = 360

2OQN = 360-220

2OQN = 140

OQN = 140/2

OQN = 70

Therefore, Angle OQN = 70 Degrees