Question

Find the x vaule then the vaule to determine each angle measure of the triangles below

Answer 1

The sum of internal angles of a triangle is 180 degrees.

6.

The sum of the internal angles is,

`\begin{gathered} 5x+3x+12x=180 \\ 20x=180 \\ x=(180)/(20) \\ x=9 \end{gathered}`

Thus, the value of x is 9 for the triangle LKJ.

7.

The sum of the internal angles of the triangle STR is 180 degrees.

`\begin{gathered} (2x+6)+(2x-2)+(x+16)=180 \\ 5x+20=180 \\ 5x=180-20 \\ x=(180-20)/(5) \\ x=32 \end{gathered}`

Thus, the value of x is 32 for the triangle STR.

8.

For triangle WXY,

`\begin{gathered} (3x-2)+(4x-18)+(x)=180 \\ 8x-20=180 \\ 8x=180+20 \\ x=(180+20)/(8) \\ x=25 \end{gathered}`

Thus, the valu of x is 25 for triangle WXY.