Question

if the measure of angle zab equals 114°, fill in the missing angle measurements below: angle bac = type your answer. angle acb = type your answer. angle ybc = type your answer.

Explanation:

Step1: Find angle bac

Since angle zab = 114° and angle zab is a straight - line angle with angle bac (a straight - line angle is 180°), we subtract angle zab from 180°.
$180 - 114=66^{\circ}$

Step2: Find angle acb

We know that one of the angles at the intersection of lines is 62°. Angle acb and the 62° angle are vertical angles. Vertical angles are equal.
So angle acb = 62°

Step3: Find angle ybc

Angle ybc and the 62° angle are supplementary (a straight - line angle is 180°). We subtract 62° from 180°.
$180 - 62 = 118^{\circ}$

Answer:

Angle bac = 66°
Angle acb = 62°
Angle ybc = 118°