Question

Among two supplementary angles, the measure of the larger angle is 36° more than the measure of the smaller. Find their measures.

Please help me with this sum.

Answer 1

=> Let the one of the supplementary angles = x°

=> Then, the another angle = ( x + 36° )

=> Sum of supplementary angles = 180°

=> x° + ( x + 36° ) = 180°

=> 2x° = 180° - 36°

=> x° = 144/2

=> x° = 72°

∴ The two supplementary angles are:

x° = 72° and ( x + 36° ) = ( 72 + 36 )° = 180°