Question

AB and BC are tangents to P. what is the value of x? this is really so confusing

Answer 1

1. Angle PAB is 90 degrees, as it is formed from the tanget to the circle at A, and the radius drawn to A.

2. AB=BC, because tangents drawn to a circle from the same point are equal.

3. PB is Common, so by the side-side-side congruence postulate, triangles ABP and CBP are congruent.

4. So measure of m(BPA)=x/2 and m(ABP)=73/2.

5.
`(x)/(2)+90+ (73)/(2)=180`


`(x+73)/(2)=90`


`x+73=180`, x= 107 degrees.