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

In the given figure MNOP is a parallelogram, diagonal MO and PN inters

1.	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» Step-by-step explanation:ANGLE MNP = Angle POM (Alternate Interior Angles)So, Angle POM = 30 Degreeangle PQO + 40 + 30 = 180 Angle PQO = 180-70=110 DegreesAngle PQO = Angle MQN & Angle PQM = Angle OQN (Vertically Opposite Angles)Angle( PQM+PQO+MQN+OQN) = Angle( 2PQO+2OQN)= 360220 + 2OQN = 3602OQN = 360-2202OQN = 140OQN = 140/2OQN = 70Therefore, Angle OQN = 70 DEGREES

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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​

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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