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pls help ASAP(question is also in the picture) 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.)

pls help ASAPquestion is also in the picture Assume that lines that appear to be tangent are tangent O is the center of the circle Find the value of x Figures a class=

Respuesta :

We recall that the angle formed by a tangent to a circle and the radius drawn to the tangency point is 90°.

So, the measures of the interior angles of the quadrilateral are x°-90°-90°-135°. 

Thus, the total sum of these angles is x°+90°+90°+135°=315°+x°.

Since the sum of the measures of the angles of a quadrilateral is 360°, then x must be 45.


Answer: 45
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