Question

if the measure of angle zab equals 114°, fill in the missing angle measurements below: angle bac = 66 °. angle acb = 62 °. angle ybc = 118 °. angle xba = type your answer... °. angle abc = type your answer... °.

Explanation:

Step1: Find angle xba

Angle xba and the 62 - degree angle are vertical angles. Vertical angles are equal.
So, $\angle xba=62^{\circ}$

Step2: Find angle abc

Angle zab is 114 degrees and angle bac is 66 degrees. Angle abc can be found using the fact that the sum of angles in a triangle is 180 degrees. Also, we know that angle acb = 62 degrees. Another way is to note that angle zab and angle abc are supplementary (linear - pair).
$\angle abc = 180 - 114=66^{\circ}$

Answer:

Angle xba = 62
Angle abc = 66