170,375 views
2 votes
2 votes
Calculate the measure of arc AC if the measure of arc CD is 170 degrees and arc AB is 80 and AB||CD.

Calculate the measure of arc AC if the measure of arc CD is 170 degrees and arc AB-example-1
User Jfgrang
by
3.0k points

2 Answers

27 votes
27 votes

Answer:

AC = 55°

Explanation:

because the measure is part of CD. Hope this helps!

User Ffhaddad
by
2.8k points
13 votes
13 votes

Answer:

AC = 55°

Explanation:

In this geometry, arcs AC and BD have the same measure. The sum of the parts of arc CD will total the measure of CD.

AC + AB + BD = CD

2AC +80 = 170

AC = 110/2 = 55

The measure of arc AC is 55°.

User Jake Pearson
by
3.0k points