By using the inscribed angle and intercepted arc relationship, the equation to find the value of x is [tex]4x-2 = 118^{0}[/tex]
What is measure of an inscribed angle?
The measure of an inscribed angle is half the measure of the intercepted arc.
i.e., m<ABC = [tex]\frac{1}{2}[/tex] m<AOC
Given
Measure of an intercepted arc = [tex]118^{0}[/tex]
Measure of an inscribed angle = 2x - 1
m<ABC = [tex]\frac{1}{2}[/tex] m<AOC
Substitute values in above formula
⇒[tex]\frac{1}{2} (118)^{0}[/tex] = [tex](2x-1)[/tex]
⇒ [tex]4x-2 = 118^{0}[/tex]
Hence, By using the inscribed angle and intercepted arc relationship, the equation to find the value of x is [tex]4x-2 = 118^{0}[/tex]
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