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11 votes
FInd the value of x.
Y
D
W
X
(15x-8)
X =
N
226

FInd the value of x. Y D W X (15x-8) X = N 226-example-1
User Ashokdy
by
3.3k points

1 Answer

6 votes

Let's start with the given arc and its angle.

The angle YWX is going to be half the arc length.

YWX = 1/2 (226) = 113

Angles VWX and YWX form a linear pair (or are supplementary angles), which means that their sum is 180 degrees.

(15x - 8) + 113 = 180

15x + 105 = 180

15x = 75

x = 5

Hope this helps!

User Benjamin Paap
by
3.1k points