In circle C, IL is a diameter, ∠ICR = (3x + 5)°, and angle∠RCL = (x – 1)°.
find X and (arc) ILR

The measure of arc ILR is 223 degrees
The sum of angle on a straight line is 180 degrees
Given the following parameter
∠ICR = (3x + 5)°, and
∠RCL = (x – 1)°.
Taking the sum:
3x + 5 + x - 1 = 180
4x + 4 = 180
4x = 176
x = 176/4
x = 44
arc ILR = 180 + arcRL
arc ILR = 180 + 44 - 1
arc ILR = 223 degrees
Hence the measure of arc ILR is 223 degrees
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