Find Angle CEB: Complex Geometry with 90°, 55°, and 95° 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 CEB based on the data from the figure.

00:00 Find angle CEB

00:15 The entire angle (BED) equals the sum of its parts

00:37 We'll substitute appropriate values according to the given data and solve for the angle

00:52 Let's isolate angle CEB

00:59 And this is the solution to the question

Let's pay attention to the data in the question.

We know that angle DEB is equal to 95 degrees.

Let's break it down into an addition exercise:

$CEB+CED=DEB$

Now let's substitute the known data into the formula:

$CEB+70=95$

We'll move a term and keep the appropriate sign:

$CEB=95-70$

$CEB=25$