Question

the second angle of a triangle is three times the first and the third is 12 degrees less than twice the first. find the measures of the angles.

I need help setting it up!

Answer 1

m angle 1 = x
m angle 2 = 3x
m angle 3 = 2x - 12

Since it is a triangle, the three angles will add to get 180 degrees, therefore

angle 1 + angle 2 + angle 3 = 180 degrees

Thus:
x + 3x + (2x - 12) = 180
x + 3x + 2x - 12 = 180
(1 + 3 + 2)x - 12 = 180
6x - 12 = 180
6x = 180 + 12
6x = 192
x = 192/6
x = 32

Now, insert the value of x back into the corresponding expressions given for each angle to find the measures of each.

Answer 2

so angle 1=32 , angle 2=96, and angle 3=52 ?