Question

the difference in the measure of two complementary angles is 12° find the measure of the angles

Answer 1

Heya here is your answer...

Let the two angles be x and y

Then,

x+y=90°[since x and y are complementary which which means their sum is 90°] ______ (1)

Now,x=y+12[since x and y differ by 12] _____ (2)

Putting (2) in (1)

y+12+y=90°

2y+12=90°

2y=78

y=39

Hence the value of y=39°

Now put y=39° in (1)

x+39°=90°

x=51°

Hope it helps...