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 dr
awn to scale.)
(Figure and terms in pictures)
A. 315
B. 67.5
C. 45
D. 270
(Figure and terms in pictures)
A. 315
B. 67.5
C. 45
D. 270
2 answers:
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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