Question

PLEASE HELP! THANKS!

The measures, in degrees, of the 3 angles of a triangle are given by 2x +1, 3x - 3, and 9x.
What is the measure of the smallest angle?

A.) 13 degrees
B.) 27 degrees
C.) 36 degrees
D.) 117 degrees

please show how to solve this I GIVE THANKS!!!

Answer 1

You first have to know that the measure of the three angles of a triangle= 180 add the terms and equal them to 180 2x+1 + 3x-3 =9x= 180 14x-2 = 180 14x= 182 x=13 This is not what you are looking for, you need to substitute 13 in the original measures 2 (13) +1= 27 degrees 3(13) -3= 36 degrees 9 (13) = 117 degrees therefore the smallest angle is 27 degrees if you add all three angle measure it will = 180 degrees Hope this helps you

Answer 2

if you add everything up then
14x-2=180
14x=182
x= 13

So the angles would equal
2(13)+1= 27
3(13)-3= 36
9(13)= 117
The angles are 27 36 and 117
Which makes the smallest angle 27 which is B.