Question

Use the circle shown to answer the question.

Answer 1

The value of x in the angle ABC is 25.

How to find the angles in circle?

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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