Question

The larger of two supplementary angle s exceeds the smaller by 18 degrees .Find them. ​

Answer 1

Step-by-step explanation:

let X and y be the two supplementary angles

= X*y = 180......(1)

given that one angle is greater than other by 18

= x= y +18.....(2)

putting value of x in the equation first

= y+18+y= 180

=2y = 162

= y=162/2

= y= 81

= x= y+18

= x= 81+18

= x= 99

two supplementary angles are 99 and 81

Answer 2

Given :-

• The larger of two supplementary angles exceeds the smaller by 18 degrees .

To Find :-

• What are the angles?

Solution :-

Let the larger angle be x and the smaller angle be y.

As per question :-

Given that,

The larger of two supplementary angles exceeds the smaller by 18 degrees .

We know, the sum of supplementary angles is 180°

Therefore,

x +y = 180°.............eq(1)

x - y = 18............... eq(2)

Find the value of x from eq(1)

x + y = 180°

⟼ x = 180° -y.......... eq(3)

Now, put the value of x in eq(2)

x -y = 18

⟼ 180° - y -y = 18

⟼ 180° - 2y = 18

⟼ -2y = -162

⟼ y = 81°

Hence, the smaller angle is = 81°

After putting the value of y in eq(3), we get

x = 180° - y

⟼ x = 180° - 81°

$⟼x = 99°$

Therefore, the larger angle is = 99°

And the smaller angle is = 81°