The angle measures of a triangle are (x+15), (2x-20), and 2x. what are the actual angle measures of the triangle

Hello from MrBillDoesMath!

   x + 15 = 52

  2x - 20 = 54

  2x = 74

Discussion:

Let

A = x + 15

B = 2x - 20

C = 2x

A plane triangle has 180 degrees, which in our case, means

A + B + C = 180  or

(x + 15) + (2x-20) + 2x = 180

Combine "x" terms

(x + 2x + 2x) + (15-20) = 180

or

5x -5 = 180

Adding 5 to both sides gives

5x = 185 or x = 37

Therefore

A =  x + 15 = 37 + 15 = 52

B = 2x - 20 = 2(37) - 20 = 74 - 20 = 54

C = 2x  = 2 (37) = 74

Verify that A+B +C = 180   ( 52 + 54 + 74 = 180)

Thank you,

MrB

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