Question

Determine the measure of each arc or central angle.

1.m(arc)MN
2.m(arc) QR
3. m(arc) NQR
4.m (Arc) MRP
5. m(arc) NQ
6.m (arc) MR

Answer 1

Explanation:

First off, we need to remember that the arc measure is equal to the angle measure inside the circle. That means m(arc) MN is 70 degrees. Knowing this, we can find the measures of the other arcs:

m(arc)NP = 180 - 70 - 30 = 80

m(arc)QR = 70 based on vertical angles principle

m(arc)MR = 80+30 = 110 based on vertical angles and angle sum principles

Now we can list the answers using this:

1. 70

2. 70

3. 180

4. 210

5. 110

6. 110

Hope this helps!