Answer:
x = 21
Step-by-step explanation:
A circle makes a 360 degree turn
So the measure of the arcs should add up to equal 360
That being said we create an equation to solve for x
360 = 61 + 5x - 7 + 34 + 9x - 22
Now we solve for x using basic algebra
Step 1 combine like terms
61 - 7 + 34 - 22 = 66
5x + 9x = 14x
now we have 360 = 14x + 66
step 2 subtract 66 from each side
66 - 66 cancels out
360 - 66 = 294
now we have 294 = 14x
step 3 divide each side by 14
294/14=21
14x/14=x
we're left with x = 21
