Question

In the given figure, if AB || PQ, angle ABQ = 60° and angle SRQ = 30.
Find the measure of angle RSQ.
60​

Answer 1

Answer:

The answer is 30°

Step-by-step explanation:

The explanation is in the attachment

Answer 2

Answer: 30 degree

Step-by-step explanation:

Given that ∠ABQ = 60° and ∠SRQ = 30°

∴∠ABQ = ∠PQR = 60° (corresponding angles are equal)

Hence, ∠PQR + ∠RQS = 180° (linear pair)

ie, 60° + ∠RQS = 180

ie, ∠RQS = 180 - 60

= 120°

Now , consider triangle QRS

Using angle sum property,

∠RQS + ∠QSR + ∠SRQ = 180

ie, 120 + ∠RSQ + 30 = 180

ie, ∠RSQ = 180 - 150

= 30°

HOPE THIS HELPS......