Question

the difference in the measures of two complementary angles in 12 degree . find the measures of the angles??

Answer 1

sum of complementary angles is 90°
so let one angle be x and second x-12
according to question
x+x-12=90°
2x= 90+12
x= 102/2
x = 51
so one angle is 51° and second is 51-12=39°
and to check ..
51+38=90
and 51-39=12

Answer 2

We know that Complementary angle=180°
Let the Larger Angle =X
Let the smaller angle =Y
According to the question,
X+Y=180°-----Equation (1)
X-Y=12°-----Equation (2)
By elimination Method
2Y=168
=>Y=168/2
=>Y=84
Therefore the smaller angle is 84°
X+84°=180°
=>X =180°-84°
=> X=96°
Therefore the larger angle is 96°