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

Question

ABC is a right triangle.

If ABC=50 ∢\text{ABC}=50

Calculate the size of CDM ∢CDM .

AAABBBCCCDDDMMM50

Video Solution

Step-by-Step Solution

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:

1809050=40 180-90-50=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:

1809040=50 180-90-40=50

Answer

50