Question

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THE LARGER ANGLE IS 18° MORE THAN THE SMALLER ONE IS TWO SUPPLEMENTARY ANGLES. THE VALUE OF SMALLER ANGLE WILL BE:

Answer 1

Answer:

Explanation:

kshaycool21Ambitious

let the two angle be /x and /y

according to given condition-

/x+/y = 180 ----(1)

/x = /y + 18 -----(2)

substituting the value of (2) in (1)

(1) - /x+/y = 180

- (/y+18)+/y = 180

- 2/y+ 18 = 180

-2/y = 162

-/y= 81

substituting the value of y in (2)

/x=/y+18

/x=81+18

/x=99

Answer 2

Explanation:

Given :-

The larger of two supplementary angles exceeds the smaller by 18°

To Find :-

The Numbers

Solution :-

Let the first angle be x

And the second angle be y

According to the Question,

x + y = 180

x = 180 - y ... (i)

x - y = 18

Putting the value of x we get

180 - y - y = 18

- 2y = - 162

y = - 162/–2

y = 81°

Putting the value back in equation (i), we get

x = 180 - 81 = 99°

Hence, the angles are 99° and 81°.

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