115k views
0 votes
Using the image of ⊙O to find the value of x, y and z.

Using the image of ⊙O to find the value of x, y and z.-example-1
User NotWoods
by
8.5k points

1 Answer

3 votes

Answer:

x = 30°

y = 60°

z = 96°

Explanation:

Well the angle from the center that intercepts 120° is equal to 120° since it is a central angle.

y = 60° because oof supplementary angles.

The measure of z is 48 * 2 because the 48° is an inscribed angle.

z = 96°

And, the arc that angle y intercepts is also the arc the x intercepts.

That arc is 60° because 180° - 120° = 60°

x is an inscribed angle, so x = 1/2 * 60°

x = 30°

Hope this helps.

User Evgeni Nabokov
by
8.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories