Mathematics: What is the measure of angle bkd 43 63 23 20

What is the measure of angle bkd 43 63 23 20 - id43632320820798, cal1805p8uo38

Ответ:

ashleyjohnson2002

12.03.2022

Mathematics

B. 63.

Step-by-step 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:

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

$m\angle BKD=\frac{1}{2}(86+40)$

$m\angle BKD=\frac{1}{2}(126)$

$m\angle BKD=63$

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

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What is the measure of angle bkd 43 63 23 20

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