Question

In a parallelogram JUMP the bisectors of ےU and M meet at O, find the measure of ےMOU.

Answer 1

Answer:

90*

Step-by-step explanation:

Now, in a parallelogram, the adjacent angles are supplementary.

∴ ∠EMO + ∠DOM = 180°

⇒ 1/2 (∠EMO + ∠DOM) = 1/2 180°

⇒ 1/2∠EMO + 1/2∠DOM = 1/2 180°

∠QMO + ∠QOM = 90°

Now, in ΔMOQ,

∠QMO + ∠QOM + ∠MQO = 1800

⇒ 900 + ∠MQO = 1800

⇒ ∠MQO = 900