Question

I’m unsure how to find x. Please explain steps. Thanks!

Answer 1

Angle x⁰ is formed by a tangent and a secant of a circle. They intersect at a point of tangency. So,

m ∠x⁰ = (1/2) m(arc) = (1/2)*126 = 63⁰

m ∠x⁰ = 63⁰.

Answer 2

In the given figure angle x is the angle made by a tangent and a chord .The measure of the arc which is lying between the point of contact of tangent and chord which is also known as intercepted arc is given as 126 degrees.

According to circle Theorem:An Angle formed by a chord and a tangent that intersect on a circle is half the measure of the intercepted ar
c.

This can be written as
`<x=(1)/(2)` times 126
`=(126)/(2)=61`

Measure of <x= 63degrees.