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Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x. (Figures are not drawn to scale.)

(Figure and terms in pictures)

A. 315
B. 67.5
C. 45
D. 270

Assume that lines that appear to be tangent are tangent O is the center of the circle Find the value of x Figures are not drawn to scale Figure and terms in pic class=
Assume that lines that appear to be tangent are tangent O is the center of the circle Find the value of x Figures are not drawn to scale Figure and terms in pic class=

Respuesta :

The correct answer is c

Answer:

The value of x is 45°

Option C is correct.

Step-by-step explanation:

Given the figure in which two tangents are drawn and

The measure of ∠O is 135°

we have to find the value of x.

By theorem radius from the center of circle is perpendicular to the tangent line i.e

∠OAB=∠OCB=90°

As OABC is a quadrilateral therefore sum of all angles equals to 360°

∠ABC+∠AOC+∠OAB+∠OCB=360°

x°+135°+90°+90°=360°

x+315°=360°

x=360°-315°=45°

Hence, the value of x is 45°

Option C is correct.

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