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Find the value of x.
D
168°
y
x = [? ]°
Enter

Find the value of x. D 168° y x = [? ]° Enter-example-1
User Hitec
by
8.0k points

1 Answer

3 votes

Answer:

84°

Explanation:

You want the measure of angle x formed by a tangent and a chord that cuts off an arc of 168°.

Angle

The measure of angle x is half the measure of the subtended arc, as it is with all inscribed angles in a circle.

x = 168°/2 = 84°

The value of x is 84°.

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Additional comment

The measure of y is the supplement of the measure of x, 96°. It is half the measure of the long arc, which is 192°.

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User LImbus
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