Question

Line QS bisects ∠PQR and m∠PQS=63°
Find m∠RQS and m∠PQR.

Please explain how to do this.

Answer 1

Answer:

Measure of angle SQR=63 degrees

Measure of angle RQR=126 degrees

Step-by-step explanation:

We are given that line QS bisects angle PQR.

Measure of angle PQS=63 degrees

We have to find the measure of angle RQS and angle PQR.

When a line QS bisect angle PQR then

$m\angle PQS=m\angle SQR$

Therefore, measure of angle SQR=63 degrees

$m\angle PQR=m\angle RQS+\angle PQS$

$m\angle PQR=63+63=$126 degrees

Hence, measure of angle PQR=126 degrees

Answer 2

The measure of m∠RQS and m∠PQR is the line QS bisects ∠PQR  and m∠PQS=63° are 63 and 126 degrees respectively

A line that bisects an angle divides the angle into two equal parts.

If line QS bisects ∠PQR, then:

• <PQS = <RQS

Given the following parameter

m∠PQS=63°

Hence <PQS = <RQS = 63 degrees

Also, <PQR = <PQS + <RQS

<PQR = 63 + 63

<PQR = = 126 degrees

This shows that the measure of m∠RQS and m∠PQR is the line QS bisects ∠PQR  and m∠PQS=63° are 63 and 126 degrees respectively

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