## The second angle of a triangle is 20 degrees greater than the first angle. The third angle is twice the second. Find the three angles. (Note

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## Answers ( No )

A triangles angles add up to 180 degrees. Using this knowledge, we can write an equation evaluating the first angle as x.

x + x + 20 + 2(x + 20) = 180

distribute the 2

x + x + 20 + 2x + 40 = 180

combine like terms

4x + 60 = 180

isolate the variable: subtract 26 from both sides

4x = 120

isolate the variable: divide each side by 4

x = 30

We can now determine the other sides using this information:

Side 1: 30 degrees

to get side 2 we need to add 20 to side 1 getting:

Side 2: 50

For the last one, we must multiply side 2 by 2 getting:

Side 3: 100

condensed:

side 1: 30

side 2: 50

side 3: 100

We can check this by adding all of our answers and seeing if they equal 180:

30 + 50 + 100 =180

Hope this helps!