Find the value of x. Then find the measure of the red arc.

Answer:
x = 70 degrees, red arc= 110 degrees
Step-by-step explanation:
x and 2x-30 added together is 180 degrees.
We can make an equation to find x,
x + (2x - 30) = 180
3x - 30 = 180
Add 30 to both sides to isolate x
3x = 210
By dividing both sides by 3, we get x = 70
Now we know the red arc is 2x - 30. We can plug x in because we know the value now.
2(70) - 30
140 - 30
Red Arc = 110 degrees
The value of x = 70 degrees, and the measure red arc of 110 degrees,
In the case when (2x - 30) degrees and x degrees are given.
Since
x + (2x - 30) = 180
3x - 30 = 180
3x = 210
x = 70
Now
= 2(70) - 30
= 140 - 30
= 110 degrees
hence, The value of x = 70 degrees, and the measure red arc of 110 degrees
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