Therefore, the angles 20 degrees and 160 degrees are the two supplementary angles.ĭetermine the supplement angle of (x + 10) °. Hence, one angle is 20 degrees, and the other is 160 degrees. Substitute r = 20 in the initial equations. One angle will be r, and the other will be 8r The ratio of a pair of supplementary angles is 1:8. The sum of the angles must be equal to 180 degrees: (x – 2) + (2x + 5) = 180Ĭalculate the value of θ in the figure below. But the angles don’t have to be adjacent nor share a common side and vertex to be considered as. If we add their angle measures ( 120circ + 60circ 120 + 60 ), we get 180circ 180. Take for instance the diagram above, angle AXN AXN and angle NXF NXF are supplementary. Given two supplementary angles as: (x – 2) ° and (x + 5) °, determine the value of x. Each angle is called a supplement of the other. Since 189°≠ 180°, therefore, 170° and 19° are not supplementary angles. Hence, 127° and 53° are pairs of supplementary angles.Ĭheck if the two angles, 170°, and 19° are supplementary angles.
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