In the isosceles triangle МDР with the base МР, the bisector РС is drawn.

In the isosceles triangle МDР with the base МР, the bisector РС is drawn. Find the angles of the MDP triangle if the MPC angle is 42 degrees.

Since RS is the bisector of the MPD angle, then the angle DPC = MPC = 42, then the angle MPD = 2 * MPC = 2 * 42 = 84.

Since the triangle МDР is isosceles with the base МР, then the angle РМD = МРD = 84.

Then the angle МDP = (180 – 84 – 84) = 12.

Answer: The angles of the MDP triangle are equal to 84, 12, 84.



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