26.If angle MNO and angle QRS are supplementary angles and mangle MNO is 74^circ what is mangle ORS

## Step 1<br />The problem involves the concept of supplementary angles. Supplementary angles are two angles whose sum equals 180 degrees. In this case, we are given that \( \angle MNO \) and \( \angle QRS \) are supplementary angles, and the measure of \( \angle MNO \) is 74 degrees.<br /><br />## Step 2<br />To find the measure of \( \angle QRS \), we subtract the measure of \( \angle MNO \) from 180 degrees. This is because the sum of the measures of the two angles is 180 degrees.<br /><br />### **The formula used here is:**<br />### \( m\angle QRS = 180^{\circ} - m\angle MNO \)<br /><br />## Step 3<br />Substitute the given value of \( m\angle MNO \) into the formula.<br /><br />### \( m\angle QRS = 180^{\circ} - 74^{\circ} \)<br /><br />## Step 4<br />Perform the subtraction to find the measure of \( \angle QRS \).<br /><br />### \( m\angle QRS = 106^{\circ} \)