Find Angle CEB: Complex Geometry with 90°, 55°, and 95° Angles

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.

404040505050404040505050707070AAABBBCCCDDDEEEFFFGGG203025

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:18 Let's find angle C. E. B.
00:33 The whole angle B. E. D is the sum of its parts.
00:55 We'll put in the right values from what we are given, and solve for the angle.
01:10 Now, let's focus on angle C. E. B to find our answer.
01:17 And that's how we solve the problem!

Step-by-step written solution

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1

Understand the problem

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.

404040505050404040505050707070AAABBBCCCDDDEEEFFFGGG203025

2

Step-by-step solution

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 CEB+CED=DEB

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

CEB+70=95 CEB+70=95

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

CEB=9570 CEB=95-70

CEB=25 CEB=25

3

Final Answer

25

Practice Quiz

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Indicates which angle is greater

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