Question

M ∠CAD = _____. Please help!

Answer 1

Check the picture below.

Answer 2

B.
`m\angle CAD=\frac{m\widehat {CD}-m\widehat {GE}}{2}`.

Explanation:

We have been given an image of a circle. We are asked to find the measure of angle CAD.

We can see that angle CAD is formed by two intersecting secants outside the circle.

Intersecting secants theorem states that when two secants intersects outside a circle, then the measure of angle formed by secants is half the difference of intercepted arcs.

`m\angle CAD=\frac{\text{Larger arc-Smaller arc}}{2}`

`m\angle CAD=\frac{m\widehat {CD}-m\widehat {GE}}{2}`

Therefore, option B is the correct choice.