The angles of a quadrilateral add up to 360° . Three of the angles in degrees are x, 2x and 3(x-10). A) Write an inequality for A. B) solve the inequality. C) angle 2x degrees and 3(x-10) be same.

Question

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Exams tomorrow 💤🥲

Answer 1

x + 2x + 3x-30 + y = 360

y = 360 -6x +30

y = 39 -6x = the 4th angle = 3(13-2x) degrees

if 2x and 3(x-10) are the same, then

x + 2x + 2x + y = 360

y = 360 -5x = 5(72 -x) degrees = the 4th angle

2x = 3(x-10)

2x = 3x -30

3x -2x = 30

x = 30 degrees

the 4 angles are 30, 60, 60 and 210 degrees

the 4th angle = 210 degrees