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

 Jul 5, 2021

Best Answer 

 #1
avatar+35059 
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x    +     x+ d      + x + 2d     + x + 3d    = 360          x + 3d = 128     or    x = 128 - 3d    <======sub this into the equation

 

4 ( 128-3d) + 6d = 360

d = 25 1/3

 

 

x + 3d = 128

x = 128 -3d = 128 - 3 ( 25 1/3) = 52 degrees

 Jul 5, 2021
 #1
avatar+35059 
+2
Best Answer

x    +     x+ d      + x + 2d     + x + 3d    = 360          x + 3d = 128     or    x = 128 - 3d    <======sub this into the equation

 

4 ( 128-3d) + 6d = 360

d = 25 1/3

 

 

x + 3d = 128

x = 128 -3d = 128 - 3 ( 25 1/3) = 52 degrees

ElectricPavlov Jul 5, 2021

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