Question

find
the value
of x
in each
Case​

Answer 1

Answer:

x=80°

Step-by-step explanation:

In triangle ABC,

QT and PS intersect at point O.

In triangle PTO,

Angle PTO=90°.....(given)

Angle TPO=30°.....(given)

Angle POT=60....(remaining angle of

triangle)

Angle QOS=Angle POT...(opposite angle)

but Angle POT=60°

Therefore,

Angle QOS=60°..... (1)

In triangle QOS,

Angle QOS=60°....(from 1)

Angle OQS=40°....(given)

Angle OSQ=80°...(remaining angle of

triangle)

x=Angle OSQ=80°

X=80°