Please help with this math problem:
Angle 2 equals 10x +15 and is supplementary to angle 3 which equals 7x +42. Find x and each angle.
Thanks.
If angle 2 and 3 are supplementary, then they add up to 180 degrees, therefore:
$\displaystyle angle_2 + angle_3 = 180$
Now we plug each equation in:
$\displaystyle 10x + 15 + 7x + 42 = 180$
$\displaystyle 17x + 57 = 180$
All you do now is solve for x, plug x into the two original equations and find each individual angle.
And you're done.
I hope this helps.