three angles in a triangle add to 180 degrees. if the second angle is 4 more than the first but 4 less than the third, find each angles measurement

Question

x+x+4+x+8=180

3x+12=180

3x=168

x=56

 

 

why is it x+8 and not x-4?

Answer 1

Let 1st angle = x

Let 2nd angle = x + 4

Let 3rd angle = x + 8

 

As you can see, x and (x + 4) are correct.  The last one is (x + 8).  Here is why.

 

2nd angle - 3rd angle = (x + 4) - (x + 8)

                                = x + 4 - x - 8

                                = -4

 

This means the 2nd is smaller than the 3rd by 4 because the difference is negative.

 

 

Understand?

Answer 2

first is x

 

second is x+4

 

third is  x+4+4 = x+8

 

x + (x+4)+(x+8) =180

 

3x +12 = 180

 

3x = 168

 

x = 56 

 

angles are 56, 60 and 64

Answer 3

t represents the measure of the third angle

t - 4 represents the measure of the second  

t - 4 - 4 represents the measure of the first (four less than the second)

 

Can you solve for t?