Question

In given figure PQ∥RS if ∠1 = (2a+b)° and ∠6 =(3a-b)°, then the value of 'a' is

Answer 1

ANSWER

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

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