Q.10 Two supplementary angles differ by 500
. Find measure of each angle.
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hello, Bhai angle is differ by 500 or 50⁰?
if angle is differ by 50⁰ ,then its solutions is here
let,x and y be two supplementary angle
Then,x+y=180⁰ (equ.1)
and x-y=50⁰ (equ.2)
adding equ.1 and 2 , we get
x+y+x-y=180⁰+50⁰
2x=230⁰
so,x=115⁰
now, putting the value of X=115⁰ in equ.1,we get
115⁰+y=180⁰
y=180⁰-115⁰
so,y=65⁰
hence,each of the supplementary angle is 115⁰and 65⁰
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