O is the center of the given circle. The measure of angle O is 134 degrees. The diagram is not drawn to scale.
Assuming that lines that appear to be tangent are tangent, what is the value of x?

A) 67
B) 46
C) 314
D) 268

Any help or formulas to solve this would be so much help, thank you!

Question

O is the center of the given circle. The measure of angle O is 134 degrees. The diagram is not drawn to scale. 
Assuming that lines that appear to be tangent are tangent, what is the value of x?

A) 67
B) 46
C) 314
D) 268

Any help or formulas to solve this would be so much help, thank you!

homeworkhelp · Answer

attachment

homeworkhelp · Answer

@Michele_Laino

homeworkhelp · Answer

Any help would be greatly appreciated :)

michele_laino · Answer

we have to solve this equation, for $x$:
$x+90+90+134=360$
please find the value of $x$

homeworkhelp · Answer

One second, I'll do that right now!

michele_laino · Answer

in a quadrilateral, the sum of interior angles has to be equal to $180$ degrees

wolf1728 · Answer

Two connected tangents of a circle form an angle that along with the central angle, add up to 180 degrees. http://www.regentsprep.org/regents/math/geometry/gp15/circleangles.htm Agle O + x add up to 180 degrees.

michele_laino · Answer

oops.. I meant $360$ degrees

homeworkhelp · Answer

134+180 would equal 314. 360-314 would be 46, correct?

michele_laino · Answer

yes! correct!

wolf1728 · Answer

correct !

homeworkhelp · Answer

Wonderful! Thank you so much for your help! This question was bothering me for such a long time, I really appreciate it! :)

michele_laino · Answer

:)

wolf1728 · Answer

u r welcome :-)