Question

What is the measure, in degrees, of ABC?

Answer 1

Step-by-step explanation:

sum of angle = 180

$(3x + 14) +(5x + 6) + x = 180 \\ 9x + 20 = 180 \\ 9x = 180 - 20 \\ x = \frac{160}{9} \\ substie \: the \: valu \\ (3x + 14) = 3 \times \frac{160}{9} + 14 \\ \frac{160}{3} + 14 = \frac{160 + 42}{3} = \frac{202}{3} = 67.34 \\ (5x + 6) = 5 \times \frac{160}{9} + 6 \\ \frac{800}{9} + 6 = \frac{800 + 54}{9} = \frac{854}{9} = 94.88 \\ x = \frac{160}{9} = 17.77 \\ check \\ \frac{202}{3} + \frac{854}{9} + \frac{160}{9} \\ \frac{606 + 854 + 160}{9} = \frac{1620}{9} = {180}^{0}$

Answer 2

Answer: D. 74.00 degrees

Step-by-step explanation:

Given that the two angles are supplementary

Therefore angles ABC + CBD = 180 degrees

       i.e. (3x+14) + (5x+6) = 180

              3x+14+5x+6 = 180

              3x+5x+14+6 = 180

              8x+20 = 180

                     8x = 180-20

                     8x = 160

                       x = 160/8

                       x = 20

          Angle ABC = 3x+14

                              = 3*20+14

                              = 60+14

                              = 74