Solve for X: Triangle Angles with Expressions 11X, 40X, and 80-X

Calculate the value of X.

11X11X11X80-X80-X80-XAAABBBCCC40X

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Determine the value of X
00:03 The sum of angles in a triangle equals 180
00:07 Substitute in the relevant values according to the given data and proceed to solve for X
00:15 Take X out of the parentheses
00:22 Solve what's inside the parentheses
00:30 Isolate X
00:37 This is the solution

Step-by-step written solution

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1

Understand the problem

Calculate the value of X.

11X11X11X80-X80-X80-XAAABBBCCC40X

2

Step-by-step solution

Let's remember that the sum of angles in a triangle equals 180 degrees.

Therefore, we will use the following formula:

A+B+C=180 A+B+C=180

Let's input the known data:

11x+40x+80−x=180 11x+40x+80-x=180

We'll combine the x terms:

50x+80=180 50x+80=180

We'll move terms to one side and maintain the appropriate sign:

50x=180−80 50x=180-80

50x=100 50x=100

We'll divide both sides by 50:

x=2 x=2

3

Final Answer

2

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Can a triangle have a right angle?

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