Question

question
solve for ( mangle pqr ) if ( mangle pqs = 43^circ ) and ( mangle sqr = 50^circ ).

Explanation:

Step1: Identify angle addition

To find \( m\angle PQR \), we use the angle addition postulate, which states that if a point \( S \) lies in the interior of \( \angle PQR \), then \( m\angle PQR = m\angle PQS + m\angle SQR \).

Step2: Substitute the given values

We know \( m\angle PQS = 43^\circ \) and \( m\angle SQR = 50^\circ \). Substituting these values into the formula:
\[
m\angle PQR = 43^\circ + 50^\circ
\]

Step3: Calculate the sum

Adding the two angles together:
\[
43^\circ + 50^\circ = 93^\circ
\]

Answer:

\( 93 \)