Answer:
x = 114
Step-by-step explanation:
Remark
You are trying to figure out what the arc is in degrees. The arc formula is
Intersect angle = 1/2( the furthest arc - the smaller closer arc).
Givens
Intersect angle = 66 degrees
Closer arc = x
Further or largest Arc = 246
Solution
66 = 1/2 (246 - x) Multiply both sides by 2 and remove the brackets.
132 = 246 - x Subtract 246 from both sides.
132 - 246 = - x
- 114 = - x Multiply both sides by -1
-1 (-114) = -1 * (-x)
x = 114
