Question

The value of x? And the measurements of angles B and C?

Answer 1

Answer:

20

92

40

Step-by-step explanation:

Remark

Every triangle has 180 degrees. The three angles add up to 180. You need only  1 equation to solve for x

Givens

• A = 48
• B = 6x - 28
• C = 2x

Equation

48 + 6x - 28 + 2x = 180              combine the like terms on the left

48 - 28 + 6x + 2x = 180

20 + 8x = 180                              Subtract 20 from both sides.

20-20 + 8x = 180 - 20                Combine

8x = 160                                      Divide both sides by 8

8x/8 = 160/8

x = 20

Answers

x = 20

B = 6x - 28 = 6*20 - 28 = 120 - 28 = 92

C = 2x = 2 * 20 = 40