Question

question 1 of 10
what is the measure of \\(\overarc{ab}\\) in \\(\odot o\\) below?

a. \\(100^\circ\\)

b. \\(260^\circ\\)

c. \\(280^\circ\\)

d. \\(80^\circ\\)

Explanation:

Step1: Identify central angle

The central angle for the minor arc (not the blue arc $\overarc{AB}$) is $100^\circ$.

Step2: Calculate total circle degrees

A full circle is $360^\circ$.

Step3: Find blue arc $\overarc{AB}$

Subtract the minor arc from full circle:
$360^\circ - 100^\circ = 260^\circ$

Answer:

B. $260^\circ$