In the figure below (not to scale), bar(...

In the figure below (not to scale), `bar(MR )_|_ bar(MP), bar(MQ) _|_ bar(MN)`, and `bar(MS)` is bisector of `/_ RMQ` . If `/_ PMN=50^(@)` , then find the measure of `/_ RMS`.

A

`25^(@)`

B

`20^(@)`

C

`30^(@)`

D

`35^(@)`

Text Solution

Verified by Experts

The correct Answer is:

a

(i) Find `/_QMP` using `/_ QMP = /_QMN- /_PMN`.
(ii) Find `/_ RMQ ` using `/_ RMQ= 90^(@)- /_ QMP`.
(iii) Now `/_RMS =(1)/(2) /_ RMQ`

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