Question

Find angle TSQ in these figure ​

Answer 1

Answer:

Given that

∠ TPS =40°.

and ∠ PRQ=80°.

as ∠PTS and angle PRS are corresponding angles so they must be equal hence

∠PTS=80°

Now in △PTS

Sum of all angles must be equals to 180°.

⟹ ∠PST=180°-120°(80+40)=60°

Also we know that ∠PTS + ∠TSQ =180°(as they both form linear)

So ∠TSQ=180°-60°

⟹ ∠TSQ=120°