Supplementary angles : Solved Examples

Right Angle	Acute Angle	Obtuse Angle	Zero Angle	Straight Angle
Complementary Angles	Supplementary angles	Adjacent Angles	Vertical / Vertical Opposite Angles	Linear Pair

Two angles are supplementary. Measure of one angle is one third of the other. Find the measures of both the angles. Assume two supplementary angle as ∠ a & ∠ b. Now, measure of one angle is one third of the other (given), so If ∠ a = x°, then ∠ b = x°/3 …………………(1) Now, since the given angles are supplementary to each other, so we get: ∠ a + ∠ b = 180° Put the values of ∠ a & ∠ b from statement (1) and we get: x° + x°/3 = 180° Solve RHS and we get: 4x° / 3 = 180° Multiply both sides by 3/4 and we get: x° = 135° Now put the value of x° = 135° in statement (1) and we get: ∠ a = x° = 135° ∠ b = 2x° = 135° / 3 = 45° Related Question Examples Can two acute angles be supplementary to each other? Check whether the following pair of angles is supplementary to each other? Can two obtuse angles be supplementary to each other? Explain. There are two supplementary angles; measure of one angle is 99°. Find measure of other angle? Are the following diagram of pair of angles supplementary to each other? Can two right angles be supplementary to each other? Explain. Study the following diagram, ∠ x = 146°, find its supplementary ∠ y. Check the following pair and write which are supplementary angles? The difference in measure of two supplementary angles is 34. Find the measures of the angles. Two angles are supplementary. Measure of one angle is twice the other. Find the measures of both the angles. Two angles are supplementary. Measure of one angle is one third of the other. Find the measures of both the angles.