1 Answer

Admir · Answer 1 · 2022-11-01T18:50:00+0000

Given:

Line ST is perpendicular to line PR.

$m\angle PQV=32^\circ$

To find:

The measure of angle SQU.

Solution:

Line ST is perpendicular to line PR.

$m\angle SQR=90^\circ$

If two lines intersect each other, then the vertically opposite angles are equal.

$m\angle UQR=m\angle PQV$ (Vertically opposite angle)

$m\angle UQR=32^\circ$

Now,

$m\angle SQR=m\angle SQU+m\angle UQR$

$90^\circ=m\angle SQU+32^\circ$

$90^\circ-32^\circ=m\angle SQU$

$58^\circ=m\angle SQU$

Therefore, the correct option is D.

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