91.6k views
0 votes
Find the measure of the angle indicated

Find the measure of the angle indicated-example-1

1 Answer

3 votes

Answer: B) 40 degrees

=======================================================

Step-by-step explanation:

The arc measures shown are 138 and 58. Subtract the arc measures and divide by 2 to get the answer

(138-58)/2 = 80/2 = 40 degrees

The general formula is

(A - B)/2

where A and B are the arc measures. The value of A is always the larger arc measure. This formula works for two secant lines as this diagram shows, and it also works for a secant line and tangent line, and lastly it works if both lines were tangent.

User Dan Mitchell
by
7.6k points

Related questions

asked Jan 4, 2022 144k views
Mike Strong asked Jan 4, 2022
by Mike Strong
7.9k points
1 answer
4 votes
144k views
asked Dec 26, 2022 18.7k views
Ivayle asked Dec 26, 2022
by Ivayle
8.2k points
1 answer
5 votes
18.7k views