Based on the information given, we can determine that angle C is 90 degrees (since a segment tangent to a circle is perpendicular to the radius at the point of tangency).
Therefore, angle A is also 90 degrees, as it is complementary to angle C.
Since the sum of the angles in a triangle is 180 degrees, angle B is 180 - 90 - 18 = 72 degrees.
Using the fact that angles on a straight line add up to 180 degrees, angle D is also 72 degrees.
Since angles B and D are opposite angles, they are equal, so x = 72 degrees.
segment cb is tangent to the circle and m<c =18 degrees solve for x
1 answer