Question

in the given figure PQ is parallel to RS and EF is parallel to QS.if angle PQS=60 then the measure of angle RFE is​

Answer 1

the angle of RFE is 30 angle

Answer 2

Given:

Angle PQS=60°

To find:

The measure of angle RFE

Solution:

The measure of angle RFE is 120°.

We can find the measure by following the given steps-

We know that the lines PQ and RS are parallel.

Similarly, EF and QS are parallel.

QS is a transversal and so, angle PQS and angle QSF are supplementary.

So, angle PQS+angle QSF=180°

We are given that the angle PQS=60°.

On putting the value,

60°+angle QSF=180°

Angle QSF=180°-60°

Angle QSF=120°

Similarly, angle QSF and angle EFS are also supplementary.

So, angle QSF+angle EFS=180°

120°+angle EFS=180°

Angle EFS=180°-120°

Angle EFS=60°

SR is a straight line.

Angle EFS and angle RFE form a linear pair.

So, angle EFS+angle RFE=180°

Using the value,

60°+angle RFE=180°

Angle RFE=180°-60°

Angle RFE=120°

Therefore, the measure of angle RFE is 120°.