Question

find the value of a and b and prove that angle pq is parallel to rs​

Answer 1

R.E.F image

Given: PQ∥RS

since, PQ∥RS

By applying alternate

angle property

∠PQR=∠QRS=55

o

...(1)

and ∠MLR+∠SRL=180

o

Therefore, LM∥RS ...(2)

(sum of interior angle property)

Therefore, from eq.

(1) and (2)

PQ∥LM

Therefore, from sum of interior angle property

the angle between the lines PQ and LM=180

o

hope it helps you

Answer 2

a=100 ( corresponding angles)

b=100( vertically opposite angles)

hope it helps my friend