PLEASE help me with this question!

Question

asked Nov 20, 2021 212k views

1 Answer

Adam Smooch · Answer 1 · 2021-11-26T06:24:42+0000

Answer:

$44^\circ$

Explanation:

The angle measuring
$y^\circ$ is formed by two secants intersecting at an exterior point.

The measure of that angle is half the difference between the big intercepted arc and the little intercepted arc.

y = 1/2 (m arc FKB - m arc CGJ)

Plug in the values you know.

56 = 1/2 (156 - m arc CGJ)

Multiply both sides by 2 to clear the fraction.

112 = 156 - m arc CGJ

Subtract 156.

-44 = - m arc CGJ

44 = m arc CGJ

The measure of the little intercepted arc is
$44^\circ$ .