Triangle ABC is isosceles with base BC. The straight line MK is parallel to the base M belongs to BC, K belongs to AB.

Triangle ABC is isosceles with base BC. The straight line MK is parallel to the base M belongs to BC, K belongs to AB. Find the angles of the KВM triangle, if the angle B = 66 degrees, the angle C = 48 degrees.

1) the CMК angle will be equal to the CAB angle, therefore, it will also be 48 °;

2) the angle ACB is equal to the angle ABC (because triangle ABC is isosceles);

3) the MKC angle is equal to the ABC angle and is equal to 66 ° (because the corresponding angles with parallel AB and MK and the secant BK);

Answer: 66 ° and 48 °