Question

two supplementary angles are differ by 62.find the angles

Answer 1

Solution :-

Let the two angles be x and y

As we know that two angles are supplementary when they add up to 180°.

⇒ x + y = 180° ...........(1)

As it is mentioned in the question that two supplementary angles differ by 62.

⇒ x - y = 62

⇒ x = 62 + y

Substituting the value of x = 62 + y in (1).

x + y = 180

⇒ 62 + y + y = 180

⇒ 2y = 180 - 62

⇒ 2y = 118

⇒ y = 118/2

⇒ y = 59

Substituting the value of y = 59 in (1)

x  + y = 180

⇒ x + 59 = 180

⇒ x = 180 - 59

⇒ x = 121

So, two supplementary angles are 121° and 59°

Answer.