Question

The larger of two supplementary angles exceeds the smaller by 18 degree find them

Answer 1

let the smaller angle be x then the larger angle is x+18

sum = 180 (supplementary)

x+x+18=180

2x=180-18

2x=162

x=81

the angles are 81 and 99 degrees.

Answer 2

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ʟᴇᴛ ᴛʜᴇ ᴛᴡᴏ ᴀɴɢʟᴇ ʙᴇ /x ᴀɴᴅ /ʏ

ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ɢɪᴠᴇɴ ᴄᴏɴᴅɪᴛɪᴏɴ-

/x+/ʏ = 180 ----(1)

/x = /ʏ + 18 -----(2)

sᴜʙsᴛɪᴛᴜᴛɪɴɢ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ (2) ɪɴ (1)

(1) - /x+/ʏ = 180

- (/ʏ+18)+/ʏ = 180

- 2/ʏ+ 18 = 180

-2/ʏ = 162

-/ʏ= 81

sᴜʙsᴛɪᴛᴜᴛɪɴɢ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ ʏ ɪɴ (2)

/x=/ʏ+18

/x=81+18

/x=99

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