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

The value of x? And the measurements of angles B and C?-example-1
User DonV
by
5.4k points

1 Answer

3 votes

Answer:

20

92

40

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

User Timo Tijhof
by
5.3k points
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