one angle is 2/3 of its supplementary angle is 180 degree. find its magnitude?
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let one supplementary angle be x.
thus,
2/3x + x = 180
(2x + 3x)/3 = 180
2x + 3x = 180 * 3
5x = 180 * 3
x = (180 * 3)/5
= 36*3
= 108 degrees.
therefore the angle is 2/3 of x = (2/3)*108 = 72 degrees.
thus,
2/3x + x = 180
(2x + 3x)/3 = 180
2x + 3x = 180 * 3
5x = 180 * 3
x = (180 * 3)/5
= 36*3
= 108 degrees.
therefore the angle is 2/3 of x = (2/3)*108 = 72 degrees.
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