Question

15. Determine the values of the unknown variables

I really just need help with how to find the X in the situation. I know how to go from there I'm just unsure how to find the X.

Thank you!

Answer 1

For the left-hand triangle we know:
`(x+7)\°+(3x-18)\°+(x-9)\°=180\°`.
Solving for
`x` we have:

`5x\°-20\°=180\°`

`5x\°=200\°`

`x=40\°`
So the angles on the left are: 47,31 and 102 degrees.

On the right we have
`y\°+(x+21)\°+(x+17)\°=180\°`
Substituting known values and solving we get:

`y\°+61\°+47\°=180\°`
[tex]y=72\°[/tex}
So the angles on the right are, 72, 61 and 47 degrees.