Question

What is the measure of ABC?

Answer 1

Answer:

(A)  $60^{\circ}$

Step-by-step explanation:

It is given that the arcAC=75° and arcDE=45°, thus using the property that the angle formed by two chords is equal to half of the sum of the intercepted arcs that is:

${\angle}ABC=\frac{1}{2}(arcAC+arcDE)$

Substituting the given values, we get

${\angle}ABC=\frac{1}{2}(75^{\circ}+45^{\circ})$

${\angle}ABC=\frac{1}{2}(120^{\circ})$

${\angle}ABC=60^{\circ}$

Hence, the measure of ${\angle}ABC$ is $60^{\circ}$.

Therefore, option A is correct.

Answer 2

60   Add both then divide by 2 and thats what you will get