Question

2. In the figure given alongside, if AB I PQ, what is the measure of ABQ?
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Answer 1

Answer:

30degree

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Answer 2

Answer:

the answer is

Step-by-step explanation:

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°

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