+0  
 
0
71
1
avatar

The consecutive angles of a particular trapezoid form an arithmetic sequence. If the largest angle measures $128^\circ$, what is the measure of the smallest angle?

 Jun 23, 2021
 #1
avatar+121048 
+1

Interior  angles sum to  360°

 

128  + ( 128 - d  )  + (128 - 2d )  +(128 - 3d )  =  360

 

512  -  6d  =   360

 

512  -  360   =   6d

 

152  =  6d

 

152 /  6  =  d    =   76/3

 

Smallest  angle  =   128  - 3 ( 76/3)   =  128  -76  =   52°

 

 

cool cool cool

 Jun 23, 2021

19 Online Users

avatar
avatar