What is m RMS in the figure below?
RA
P
M
128°
T
A 26
B 38
C 52
D 128
![What is m RMS in the figure below RA P M 128 T A 26 B 38 C 52 D 128 class=](https://us-static.z-dn.net/files/d26/a4a238b46486b6363332af2dde1ab47c.png)
Answer:
Option (B)
Step-by-step explanation:
There are two lines PS and QT intersecting each other at a point M.
It's given that m∠PMT = 128° and m∠QMR = 90°
Since ∠PMT and ∠QMS are the vertical angles so these angles will be equal in measure.
∠PMT = ∠QMS
128° = m∠QMR + m∠RMS
128° = 90° + m∠RMS
m∠RMS = 128° - 90°
m∠RMS = 38°
Therefore, Option (B) will be the answer.