Question

Among two supplementary angles the measure of the larger angle is 45 degree more than the measurement of the smaller angle find their measures​

Answer 1

Solution :-

Let the measure of larger angle be x° and the measure of smaller angle be y°.

Among two supplementary angles, the measure of the larger angle is 44° more than the measure of the smaller.

According to the condition :-

x = y + 44°

x + y = 180°

⇒ (y + 44°) + y = 180°

⇒ y + 44° + y = 180°

⇒ 2y + 44° = 180°

⇒ 2y = 180° - 44°

⇒ 2y = 136°

⇒ y = 136°2

⇒ y = 68°.

∴ x = y + 44°

x = 68° + 44°

x = 112°