Math, asked by nkhanum40, 1 year ago

Find the angle which is two-third of its supplement

Answers

Answered by vishu00792
1
your answer is 60 degree

nkhanum40: Answer should be 72 degree
vishu00792: but it comes 60 degree
Answered by yuvikacool123
6
Let me explain that in a different way with some examples. 
If the angle is 100 degrees, then the supplement is 80 degrees because 100 + 80 = 180 degrees. 
If the angle is 45 degrees, then the supplement is 135 degrees because 45 + 135 = 180 degrees. 
In other words, if you're given an angle that is less than 180 degrees, you find that angle's supplement by subtracting it from 180 degrees. 
Let choose the variable name x to represent our unknown angle. 
If x is the angle, then 180 - x is the supplement. 
Two-thirds of the supplement can be expressed as (2/3)*(180 - x). 
(The asterisk means multiplication.) 
This is enough information to write an equation. 
x = (2/3)*(180 - x) 
x = (2/3)*180 - (2/3)*x 
x = 120 - (2/3)*x 
x + (2/3)*x = 120 
(5/3)*x = 120 
x = (3/5)*120 
x = 72 
Let's check our result. 
The supplement to 72 degrees is 180 - 72 = 108 degrees. Two-thirds of 108 is 72. Our result checks out. 
The answer is 72 degrees. 
~ Mark




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