Answer:
The measure of angle ABC is 34°
Step-by-step explanation:
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
so
∠ABC=(1/2)[major arc AC-minor arc AC]
∠ABC=(1/2)[major arc AC-146°]
Find the measure of major arc AC
major arc AC=360°-146°=214°
substitute
∠ABC=(1/2)[214°-146°]=34°
