Answer:To solve for x in the given equation:
Angle = (17x - 23)
Arc 1 = 81°
Arc 2 = 74°
1. We need to equate the measure of the angle to the sum of the measures of the two arcs:
(17x - 23) = (Arc 1 + Arc 2)
2. Substitute the given values for Arc 1 and Arc 2:
(17x - 23) = (81 + 74)
3. Simplify the equation by adding the values of Arc 1 and Arc 2:
(17x - 23) = 155
4. To isolate x, we will need to eliminate the constant term on the left side of the equation. We can do this by adding 23 to both sides of the equation:
(17x - 23) + 23 = 155 + 23
Simplifying further:
17x = 178
5. Finally, solve for x by dividing both sides of the equation by 17:
17x/17 = 178/17
Simplifying:
x = 10.47 (rounded to two decimal places)
Therefore, the value of x that satisfies the equation is approximately 10.47.
Step-by-step explanation:
