Question

Which expression gives the measure of ACE in the diagram below

Answer 1

Answer:b

Explanation:

Answer 2

B

Explanation:

There are 2 secant lines intersecting a circle. We can use far arc - near arc formula to find this.

Let far arc be arc AE, and near arc be arc BD. So the theorem tells us:

Measure of Angle C = half of the difference of far arc - near arc

so we can say:

∠ACE = half of (arc AE - arc BD)

or

∠ACE =
`(1)/(2)(172-58)`

Option B is right.