Find Angle BCD: Complex Geometric Figure with 90° Perpendicular Angles

Question

It is known that angles A and D are equal to 90 degrees

Angle BCE is equal to 55 degrees

Angle DEB is equal to 95 degrees

Angle FCD is equal to 50 degrees

Complete the value of angle BCD based on the data from the figure.

00:00 Find the value of BCD

00:03 The angle is angle C between points B and D

00:09 The entire angle equals the sum of its parts

00:28 We'll substitute appropriate values according to the given data and solve to find the angle

00:50 And this is the solution to the question

Let's look at angle BCD and break it down into the angles that compose it:

$BCD=BCF+FCE+ECD$

Note that the angle values we wrote in the formula are given to us in the diagram, and now we'll substitute them:

$BCD=25+30+20$

$BCD=75$