Question

Arc AC is adjacent to arc CD. If arc AC measures 35 degrees and arc CD measures 45 degrees, what is the measure of arc AD according to the Arc Addition Postulate?

Answer 1

• 80°

Explanation:

You just need to sum up the values according to arc addition postulate:

• the measure of the arc formed by two adjacent arcs is the sum of the measures of the two arcs

• m(arc AD) = m(arc AC) + m(arc CD)
• m(arc AD) = 35° + 45° = 80°

Answer 2

Now we have to find,

The measure of arc AD according to the Arc Addition Postulate.

AD is the sum of the measures of the other two arcs. Then measure of AD is,

→ AC + CD

→ 35° + 45°

→ 80° (final answer)

Hence, the measure of arc AD is 80°.