Answer:
x=11
Step-by-step explanation:
These are alternate interior angles. Alternate interior angles are equal when the lines are parallel
6x =2x+44
Subtract 2x from each side
6x-2x =2x+44-2x
4x =44
Divide each side by 4
4x/4 = 44/4
x = 11
The equation that could be solved to find x, the measure of AC is 58 = 1/2(238 -x)
<h3>Circle theorem</h3>
The given diagram shows two intersecting lines tangential to a circle at points A and C.
Using the theorem that states, the measure of the angle at the vertex is equal to the half of the difference of the measure of the intercepted arcs.
Mathematically;
<B = 1/2(arcADC - arcAC)
58 = 1/2(238 -x)
Hence the equation that could be solved to find x, the measure of AC is 58 = 1/2(238 -x)
Learn more on circle theorem here: brainly.com/question/26594685
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Answer:
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Solving The Problem From Eaxh Side Is Easier
