Question

Find the measure of arc BC, the measure of angle A, and the measure of arc AB.

Answer 1

Step-by-step explanation

If we have the question as

Then, we will have the measure of arc BC as 45 degrees (An arc measure is an angle the arc makes at the center of a circle)

For the measure of angle A

`Measure\text{ of angle A=}(1)/(2)*45^0=22.5^0(Angle\text{ at center is twice that at the center})`

To get the measure of angle AB

we will have

So that

`\begin{gathered} x+x+45=360 \\ 2x=360-45 \\ 2x=315 \\ x=(315)/(2) \\ \\ x=157.5^0 \end{gathered}`

Therefore, the measure of the arc AB is 157.5 degree