Final answer:
To find the length of x in a circle with lines dea and ceb, we can approximate the triangle as a 'slice' of a bigger circle and use proportions to find x.
Step-by-step explanation:
In this case, the length of x can be found by approximating △ABC as a 'slice' of a much bigger circle. The length of the baseline is approximately equal to the length of the corresponding arc. Since there are 360 degrees in a circle and a degrees in this particular arc, we can use proportions to find the length of x.
In this case:
a degrees = arclength of x
360 degrees = circumference of the circle
Substituting the given values into the proportion, we have:
a/x = 360/circumference of the circle
From there, we can solve for x to find the length of x.