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

RQS = 63° and PQR = 126°

Since QS bisects angle PQR then angle PQS = angle RQS = 63°

angle PQR = angle PQS + angle RQS = 63° + 63° = 126°