Question

S
In fig. Ray OS stand on a line POQ, Ray OR and ray OT
are angle bisectors of POS and SO respectively
Il POS - find ROT.​

Answer 1

Answer:

ROT=90°

Step-by-step explanation:

If POS=x

POS+SOQ=180°(Linear pair of angles)

x+SOQ=180°

SOQ=180°-x _______(1)

OR & OT bisect POS and SOQ respectively

ROS=1/2POS

ROS=x/2 _______(2)

SOT=1/2SOQ(Substitute 1)

SOT=1/2×(180°-x)

SOT=90°-x/2 ______(3)

ROT=ROS+SOT(Substitute 2 and 3 here)

ROT=x/2+90°-x/2

ROT=90°

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