Question

The difference in the measure of two complementary angles is 12 . Find the measure of the angles​

Answer 1

Answer:

x - y = 12 — 1

x+y = 90

—————

2x = 102

x = 51

put value of x in 1

51 - y = 12

y = 51-12

y = 39

Answer 2

Answer:

Step-by-step explanation:

We know, two angles are said to be complementary, if the sum of their measures is 90° .

Let the angle be x°  and its complement is 90° −x°

 

Then, according to the statement,

⇒x° −(90  −x° )=12°

⇒x° −90°+x° =12°

⇒2x° =12° +90° =102°

⇒x° = 102°/2 =51°

Hence, the measure of the angle is x=51°

and its complement is 90° − x=90° −51° =39°