Question

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.)

Answer 1

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