Question

15. Determine the values of the unknown variables

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.