27,455 views
16 votes
16 votes
1. How many degrees is x
.x
41
82
20.5
o
41
О
10

1. How many degrees is x .x 41 82 20.5 o 41 О 10-example-1
User Gaurang Shah
by
2.4k points

1 Answer

12 votes
12 votes

Answer:

Option (1)

Explanation:

By the inscribed angle theorem inside a circle,

"Measure of an inscribed angle is half the measure of the intercepted arc"


(1)/(2)[m(arc AB)] = m(∠ABC)

m(arc AB) = 2[m(∠ABC)]

x = 2(41°)

x = 82°

Option (1) is the correct option.

User David Deutsch
by
2.7k points