Question

In the given figure ; PQR is a straight line. If : (i) ∠SQR = 75° ; find ∠PQS.

Answer 1

Answer:

Step-by-step explanation: The overall angle of a straight line is 180 degree.

So if angle SQR is 75° (given), then the angle PQS will be 180°-75° = 105°

Answer 2

The measure of angle PQS is 105 degrees.

Step-by-step explanation:

We are given the following in the question:

PQR is a straight line.

$\angle SQR = 75^\circ$

We have to find the measure of angle ∠PQS.

Since, PQR is a straight line, we have,

$\angle PQS + \angle SQR = 180\\\angle PQS + 75 = 180\\\angle PQS = 180 - 75\\\angle PQS = 105^\circ$

Thus, the measure of angle PQS is 105 degrees.

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