Solve for X: Triangle with 115° Angle and Expressions 8X and 20+X

Calculate the value of X.

11511511520+X20+X20+XAAABBBCCC8X

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Step-by-step video solution

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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
00:14 Collect like terms
00:18 Isolate X
00:28 This is the solution

Step-by-step written solution

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1

Understand the problem

Calculate the value of X.

11511511520+X20+X20+XAAABBBCCC8X

2

Step-by-step solution

Let's remember that the sum of angles in a triangle is equal to 180.

Therefore, we will use the following formula:

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

We'll substitute the known data:

115+8x+20+x=180 115+8x+20+x=180

We'll combine similar terms:

9x+135=180 9x+135=180

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

9x=180135 9x=180-135

9x=45 9x=45

We'll divide both sides by 9:

x=5 x=5

3

Final Answer

5

Practice Quiz

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Is the straight line in the figure the height of the triangle?

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