Question

In parallelogram MDE, the bisectors of ∠M and ∠O meet at Q. Find the measure of ∠MQO.

​

Answer 1

Answer:

9

Step-by-step explanation:

1243434566767mmakjhww

Answer 2

Answer:

In a parallelogram , the adjacent angles are supplementary.

∴∠EMO+∠DOM=180∘ 

∴21∠EMO+∠DOM=21×180∘ 

It is given that MQ and OQ are bisector of O and Q respectively.

∴∠QMO+∠QOM=90∘⋯⋯(1) 

Now , in ΔMOQ,

∠MQO+∠QMO+∠QOM=180o

∠MQO+90o=180o⋯⋯[from (1)]

∴∠MQO=90o