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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!!!

Verified Answer :

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.

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

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