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We are given that two supplementary angles differ by 48°. Supplementary angles are those angles whose sum is equal to 180°. Let the greater angle be 'x', then the smaller angle would be '(180° - x)'. Hence, the greater angle is x = 114° and the smaller angle = 180° - 114° = 66°
Step-by-step explanation:
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Step-by-step explanation:
Suppose
first is x
second is y
therefore difference is
x-y= 48_____equation1
We know that addition of complementary angles is 90
therefore
x+y=90_____equation2
add equation 1 and equation 2
we get
x+y=90
+
x-y=48
_______
2x= 138
x = 138÷2
x= 69
put x=69 in equation 2
x+y =90
69+y=90
y=90-69
y=21
therefore X=69
Y=21
two angles are the 69 & 21
I hope this will help you
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