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If the Measure of Arc AC Is 76^circ and the Mangle ABC=2x-12 What Is the Value of X? X=25 X=13 X=44 X=38

Question

If the measure of arc AC is 76^circ and the mangle ABC=2x-12 what is the value of x? x=25 x=13 x=44 x=38

Answer

4.1 (167 Votes)
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Nessa Elite · Tutor for 8 years

Answer

# ExplanationTo solve for in the given problem, we need to understand the relationship between the measure of the arc and the angle .In a circle, the measure of an inscribed angle is half the measure of the intercepted arc. Therefore, if intercepts arc , then: Given:- The measure of arc is .- .Using the relationship between the inscribed angle and the intercepted arc, we have: Since , we can set up the equation: To solve for , follow these steps:1. Add 12 to both sides of the equation: 2. Divide both sides by 2: Therefore, the value of is 25.# Answer