Question

in figure pq parllell to rt, angle qpr=70 and angle rot=20 find the value of x

Answer 1

Step-by-step explanation:

ANSWER

PQ∣∣RS and PO is transversal 

∴∠SRO=∠QPR  (Corresponding angles)

⇒∠SRO=70∘

We we know exterior angle of triangle is equal to sum of interior opposite angles.

Applying this in △TRO

⇒∠RTO+∠ROT=∠SRO

⇒x+20∘=70∘⇒x=70∘−20∘=50∘