Question

find the value of x in each case​

Answer 1

Answer:

∠POQ=∠SOT (vertically opposite angles

∴∠POQ=40

∘

)

∠OQR=∠OPQ+∠POQ (∵ exterior angle= sum of opposite interior angles)

125

∘

=x

∘

+40

∘

⇒x

∘

=125

∘

−40

∘

=85

∘

∴∠OPQ=85

∘

Hope this helps you☺