+0  
 
0
100
1
avatar

The measures of 3 angles of a triangle are given by 3x+1, 2x-3, and 9x. What is the measurement of the smallest angle? 13 degrees, 23 degrees, 29 degrees, or 40 degrees?

 Feb 5, 2021
 #1
avatar+128 
0

the sum of the interior angles of a triangle is 180 degrees, so:

 

3x+1+2x-3+9x = 180

 

simplifying,,

 

14x-2 = 180

14x = 182

x = 13

 

the obvious smallest angle is the 2x-3 one, so plugging our x in:

 

2(13) - 3 = 26 - 3 = 23

 

so, the answer is 23 degrees. 

 

hope this helped! please correct me if i am wrong:)

 Feb 5, 2021
edited by macar0ni  Feb 5, 2021

32 Online Users

avatar
avatar
avatar
avatar
avatar