The measure of angle XYA is 26 degrees if the YX is a tangent to circle O at point X.
What is a circle?
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have:
YX is a tangent to circle O at point X.
Arc XB = 52 dergees
Arc XA = 104 degrees
By the theorem of secant:
m∠XYA = 1/2(m∠arc XA - m∠arc XB)
= 1/2(104 - 52)
= 26 degrees
Thus, the measure of angle XYA is 26 degrees if the YX is a tangent to circle O at point X.
Learn more about circle here:
brainly.com/question/11833983
#SPJ2
