Answer:
75.5
Step-by-step explanation:
In the picture, since x is an inscribed angle, it's arc(arc XO) would be twice it's measure. Therefore, arc XO in this picture would be represented by 2x and the larger arc(arc XYO) will be represented by 360-2x since it is all of the perimeter except for the portion that is the measure of arc XO.
For this picture, you would use:
[tex]\frac{arc XYO-arc XO}{2}[/tex] =29
[tex]\frac{360-2x-2x}{2}[/tex] Substitute in the measures of the arcs.
[tex]\frac{360-4x}{2}[/tex] Combine -2x with -2x to simplify the problem
180-2x=29 DIvide by 2
-2x= -151 Subtract by 180 from both 180 and 29
x= 75.5 Divide by -2. (Both numbers are - so the answer is a +)
