Answer:
Measure of AC is 150°
Step-by-step explanation:
Given : ∠ABC = 75°
To Find : Arc AC
Solution :
Inscribed Angle Theorem:
The measure of an inscribed angle is half the measure of the intercepted arc.
So, using this theorem
\(\angle{ABC} = \frac{1}{2} \text{arc (AC)}\)
⇒\(75^{\circ} = \frac{1}{2} \text{arc (AC)}\)
⇒\(75^{\circ}*2 = \text{arc (AC)}\)
⇒\(150^{\circ} = \text{arc (AC)}\)
Arc AC = 150°
Hence, Measure of AC is 150°
