Question

question
given rectangle opqr below. if ( mangle rso = 112^circ ), find ( mangle qsr ).
answer attempt 1 out of 2
( mangle qsr = )

Explanation:

Step1: Identify supplementary angles

Angles \( \angle RSO \) and \( \angle QSR \) are supplementary because they form a linear pair (they lie on a straight line and their non - common sides form a straight line). The sum of supplementary angles is \( 180^{\circ} \). So we have the formula \( m\angle RSO + m\angle QSR=180^{\circ} \).

Step2: Solve for \( m\angle QSR \)

We know that \( m\angle RSO = 112^{\circ} \). Substitute this value into the equation from Step 1:
\( m\angle QSR=180^{\circ}-m\angle RSO \)
\( m\angle QSR = 180^{\circ}- 112^{\circ} \)
\( m\angle QSR=68^{\circ} \)

Answer:

\( 68^{\circ} \)