Question

If the measures (in degrees) of two supplementary angles are two consecutive odd integers, find the angles.

Answer 1

Let two consecutive odd integers x, x + 2. It is given that both are supplementary angles. So, their sum will be 180°. x + (x + 2) = 180° 2x = 180° - 2 2x = 178° = 178°/2 x = 89° Hence, the two angles are 89° and 91°.Read more on Sarthaks.com - https://www.sarthaks.com/791884/measures-degrees-two-supplementary-angles-are-consecutive-odd-integers-find-the-angles