The large two supplementary angle exceeds the smaller by 18 degree . Find them.
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Answer:
Let angle 1 be X and angle 2 be Y :
A. T. Q:
X+Y=180°--------(1)
And
X-Y=18°----------(2)
Then,
From (1) X= 180-Y ------(3)
Put value of (3) in (2) :
X-Y=18°
180°-Y-Y=18°
-2Y= -162°
Y = 81°
Put value of Y in (3)
X=180°-81°
X= 99°
So, we have X=99° and Y = 81°
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