Question

What is the measure of angle BKD
43

63

23

20

Answer 1

Where is 'm?' Why is m used in your question.

Answer 2

B. 63.

Explanation:

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

We will use intersecting secants theorem to solve our given problem.

Intersecting secants theorem states that when two secants intersects inside the circle, then measure of angle formed by the intersection is half the sum of intercepted arcs.

Using above theorem, we can set an equation as:

`m\angle BKD=(1)/(2)(\text{Measure of arc AE + Measure of arc BD})`

`m\angle BKD=(1)/(2)(86+40)`

`m\angle BKD=(1)/(2)(126)`

`m\angle BKD=63`

Therefore, the measure of angle BKD is 63 degrees and option B is the correct choice.