Question

Please just let me know what the measure of angle x is.

Answer 1

Given:

`m\angle PQS=90^\circ,m\angle PQR=57^\circ,m\angle RQS=x^\circ`.

To find:

The value of x.

Solution:

From the given figure, it is clear that the angle PQS is a right angle.

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

`90^\circ=57^\circ+x^\circ`

`90^\circ-57^\circ=x^\circ`

`33^\circ=x^\circ`

Therefore, the value of x is 33 degrees.