Question

If angle MNO and angle QRS are supplementary angles and m/MNO is 74°, what is m/QRS?

Answer 1

The measure of angle QRS is 106°.

Explanation:

Finding the supplement of angle MNO:

When two angles are supplementary, they form a straight angle, which measures 180°.

Since we know that the measure of angle MNO is 74°, we can find the measure of angle QRS by subtracting 74 from 180

m∠MNO + m∠QRS = 180°

(74 + m∠QRS = 180) - 74

m∠QRS = 106

Thus, the measure of angle QRS is 106°.