Question

- Two supplementary angles differ by 62º. Find
them. (Hint: The sum of two supplementary
angles is 180°​

Answer 1

Answer:

two supplementary angles are 121° and 59°

Step-by-step explanation:

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 2

Answer:

59° and 121°

Step-by-step explanation:

Let one the angles be x, then the other one is 62° + x

x + x + 62° = 180°

2x = 180° -  62°

2x = 118°

x = 59°

other angle is 59° + 62° = 121°