Question

Given: AD diameter of Circle P.

If triangle ABD were drawn, the measure of angle B would equal
A) 45
B) 90
C) 180

Answer 1

90 degree............

Answer 2

Option B
`90\°`

Explanation:

we know that

The inscribed angle is half that of the arc it comprises.

In this problem the inscribed angle is the measure of angle B

so

`m<B=(1)/(2)arc\ AD`

we have that

`arc\ AD=180\°` -----> the diameter divide the circle into two equal parts

substitute

`m<B=(1)/(2)180\°=90\°`