Use the circle shown to answer the question.

Mathematics

1 answer:

lakkis [162]1 year ago

5 0

The value of x in the angle ABC is 25.

<h3>How to find the angles in circle?</h3>

The measure of an inscribed angle is half the measure of the arc intercept.

In other words, the measure of an inscribed angle in a circle equals half the measure of its intercepted arc.

Hence, lets find the value of x in the angle ABC.

Therefore,

m∠ABC = 1 / 2 (arc AC)

arc AC = 76 degrees.

Hence,

m∠ABC = 1 / 2 × 76

2x - 12 = 1 / 2 × 76

2x - 12 = 38

add 12 to both sides of the equation

2x - 12 = 38

2x - 12 + 12 = 38 + 12

2x = 50

divide both sides by 2

2x / 2 = 50 / 2

x = 25

learn more on arc angles here: brainly.com/question/4308489

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