Question

What is the measure of ABC?

Answer 1

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

Answer 2

(A)
`60^(\circ)`

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=(1)/(2)(arcAC+arcDE)`

Substituting the given values, we get

`{\angle}ABC=(1)/(2)(75^(\circ)+45^(\circ))`

`{\angle}ABC=(1)/(2)(120^(\circ))`

`{\angle}ABC=60^(\circ)`

Hence, the measure of
`{\angle}ABC` is
`60^(\circ)`.

Therefore, option A is correct.