131k views
1 vote
Instructions: Find the measure of the angle indicated.

m/BAC
U
79⁰
D
B
A ?º
85⁰
C

Instructions: Find the measure of the angle indicated. m/BAC U 79⁰ D B A ?º 85⁰ C-example-1
User Broesch
by
7.2k points

1 Answer

4 votes

The measure of the indicated angle inscribed in the circle is 82 degrees.

The inscribed angle theorem states that "an angle x inscribed in a circle is half of the central angle 2x that subtends the same arc on the circle.

Internal angle = 1/2 × ( major arc + minor arc )

From the diagram:

Major arc BC = 85 degrees

Minor arc DU = 79 degrees

Internal angle =?

To determine the measure of the indicated angle, plug the given values into the above formula and simplify:

Internal angle = 1/2 × ( major arc + minor arc )

Internal angle = 1/2 × ( 85 + 79 )

Internal angle = 1/2 × ( 164 )

Internal angle = 82 degrees

Therefore, the indicated angle measures 82 degrees.

User Steven Shi
by
8.5k points

Related questions

asked Mar 19, 2024 23.6k views
Smora asked Mar 19, 2024
by Smora
8.5k points
1 answer
1 vote
23.6k views
1 answer
0 votes
193k views
asked Jun 16, 2023 30.6k views
Danver Braganza asked Jun 16, 2023
by Danver Braganza
8.2k points
2 answers
4 votes
30.6k views