Calculate Angle BCE: Complex Figure with 90° and 95° Angles

Question

Angles A and D are both equal to 90 degrees.

Angle DEB is equal to 95 degrees.

Calculate the value of angle BCE based on the data in the figure.

00:00 Find angle BCE

00:03 Angle C between points B and E

00:13 The total angle equals the sum of its parts

00:32 Let's substitute the angle values and solve for angle BCE

00:49 And this is the solution to the question

Let's break down angle BCE into an angle addition exercise:

$BCE=BCF+FCE$

Now let's input the known data from the diagram:

$BCE=25+30$

$BCE=55$