Question

The angles are complementary and differ by 12°, then the angles are_____​

Answer 1

Answer:

∠1 = 46°

∠2 = 44°

Step-by-step explanation:

Let ∠1 = x

     ∠2 = y

Since they are complementary so ,x+y = 90°  -----------(1)

And According To The question

x-y = 12

Therefore, x = 12+y ----------(2)

From (1) and (2)

=> 12+y+y = 90

=> 2y = 90- 12

=> y = 88/2

=> y = 44°  ---------(3)

From , (1) and (3)

x +44 = 90

x = 46°

Therefore, ∠1 = 46°

                  ∠2 = 44°

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Answer 2

Step-by-step explanation:

Since,

Complementary angles:

X + Y = 90°

X - Y = 12° (Given)

X + Y = 90°

-X + Y = -12°

2Y= 78°

Y= 39°

X - Y = 12°

X -39= 12°

X = 12°+ 39°

X = 51°

Therefore,

the angles are 51° and 39°.