Question

What is the measure of arc BD on the diagram below?

Answer 1

47 deg

Explanation:

Answer 2

D

Explanation:

Here, we see that There are 2 intercepted arcs, one is outer arc and another is inner arc. This creates an angle outside the circle.

We can say

Outer Arc is AE (83 degrees)

Inner Arc is BD

Angle created is 18 degrees

The formula with which we can figure measure of ARC BD can be written as:

`Angle =(1)/(2)(OuterArc-InnerArc)`

We know the given information and we substitute and find BD, which is Inner ARC, shown below:

`Angle =(1)/(2)(OuterArc-InnerArc)\\18=(1)/(2)(83-InnerArc)\\18*2=83-InnerArc\\36=83-InnerArc\\InnerArc=83-36\\InnerArc=47`

Thus, ARC BD is 47°, answer choice D is right.