Bunuel wrote:

In the figure, PSQ is a straight line and RS is perpendicular to ST. If the measure of angle RSQ = 48°, how many degrees are there in angle PST?

A. 48

B. 90

C. 132

D. 136

E. 138

As our calculation is straightforward, we'll just do it.

This is a Precise approach.

\(\angle\)PST = 360 - \(\angle\)RST - \(\angle\)RSP

We're told that \(\angle\)RST = 90 and we can calculate \(\angle\)RSP as 180 - 48 = 132.

Then \(\angle\)PST = 360 - 90 - 132 = 138.

(E) is our answer.

_________________

David

Senior tutor at examPAL

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