Question

find the value of abc if pq//rs

Answer 1

find the value of abc if pq//rs

∠QPT+∠PTU=180 o

(PQ∥TU, co-int ∠s).

and ∠UTR+∠TRS=180 o

(TU∥RS, co-int, ∠s)..

Adding (i) and (ii) we get ∠QPT+∠PTU+∠UTR+∠TRS=180 o

+180 o

=360 o

a+∠PTR+c=360 o

⇒ a+b+c=360 o