Question

the larger of two supplymentary angles exceeds the smaller by 18 degree. find them.​

Answer 1

Answer:

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Step-by-step explanation:

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

Step-by-step explanation:

LET THE LARGER ANGLE BE 'X'

LET THE SMALLER ANGLE BE 'Y'

X+Y=180° _________1

X=Y+18___________2

PUT X=Y+18 IN EQUATION ___1

X+Y=180°

Y+18+Y=180°

2Y=180°-18°

Y≈81°

________

________

PUT Y≈81° IN EQUATION ____2

X≈Y+18

X≈81+18

X≈99

X≈99°

Y≈81°