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The larger of two supplementary angles …

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The larger of two supplementary angles exceeds the smaller by 20 degrees. Find the angles.

Posted by Kratagya Rathore 5 years, 3 months ago

CBSE > Class 10 > Mathematics

4 answers

Gaurav Seth 5 years, 3 months ago

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

0Thank You

Yash Gupta 5 years, 3 months ago

Larger angle will be 110 degrees n the other smaller angle be 180 -110 i.s 70 degrees. Hope u found it helpfull ?

0Thank You

Adarsh Awasthi 5 years, 3 months ago

Sorry by mistake jaldi send ho gaya

1Thank You

Adarsh Awasthi 5 years, 3 months ago

X + X+20 = 180....... .. 2x+20==180.......2x==180+20==160............ X==160/2=80

1Thank You

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CBSE > Class 10 > Mathematics