BRAINLIEST & 15 POINTS In the triangle, suppose that m∠L = (6x-3)°, m∠M=(2x-6)°, and m∠N =x°.

(a) Write an equation to find x. Make sure you use an "=" sign in your answer.
Equation = _

(b) Find the degree measure of each angle.
m∠L = _°
m∠M = _°
m∠N = _°

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  (a) (6x -3) +(2x -6) +x = 180

  (b) m∠L = 123°

     m∠M = 36°

     m∠N = 21°

Step-by-step explanation:

a) The sum of angle measures (in degrees) is 180°. The equation reflects this fact:

  (6x -3) +(2x -6) +x = 180

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b) The equation simplifies to ...

  9x -9 = 180

  x -1 = 20 . . . . . divide by 9

  x = 21 . . . . . . . .add 1

Then the degree measures are ...

  m∠L = (6x -3)° = (6·21 -3)° = 123°

  m∠M = (2x -6)° = (2·21 -6)° = 36°

  m∠N = x° = 21°

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step-by-step explanation:

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