360,427 views
31 votes
31 votes
What is the measure of ZXZY?

What is the measure of ZXZY?-example-1
User Greg Ellis
by
3.1k points

1 Answer

14 votes
14 votes

Answer:

measure of angle XZY = 52 degrees

Explanation:

The sum of measure of angles of a circle is 360 degrees.

therefore, m(arc XY) = 360 - (110 + 146)

m(arc XY) = 360 - 256

= 104 degrees

angle XZY is an inscribed angle.

By the inscribed angle theorem, the measure of an inscribed angle is half the measure of the intercepted arc.

So, m( angle XZY) = 1/2 * 104

= 52 degrees.

User Himanshu Yadav
by
2.9k points