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

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.

505050404040505050707070AAABBBCCCDDDEEEFFFGGG3025

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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

Step-by-step written solution

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1

Understand the problem

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.

505050404040505050707070AAABBBCCCDDDEEEFFFGGG3025

2

Step-by-step solution

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

BCE=BCF+FCE BCE=BCF+FCE

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

BCE=25+30 BCE=25+30

BCE=55 BCE=55

3

Final Answer

55

Practice Quiz

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Indicates which angle is greater

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