Calculate Angle CDM in a Right Triangle with 50° Base Angle

ABC is a right triangle.

If $∢\text{ABC}=50$

Calculate the size of $∢CDM$.

Let's begin by observing the triangle ABC, where we are given two angles.

Due to the fact that the sum of angles in a triangle equals 180 we are able to calculate angle C in the following way:

$180-90-50=40$

Now let's proceed to observe triangle CMD, where we are given two angles.

Given that the sum of angles in a triangle equals 180, we are able to calculate angle CDM in the following way:

$180-90-40=50$