Use the circle shown to answer the question.
1 answer:
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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