Answer :
Let one of the angles be x°.
The two angles differ by 12°.
∴ The second angle = (x + 12)°.
The two angle are complementary angles.
The sum of two complementary angles is 90°.
According to the given condition,
x + x + 12 = 90
⇒ 2x + 12 = 90
⇒ 2x = 90 – 12 (Transposing 12 to RHS)
2x = 78
⇒ x = 
(Transposing 2 to RHS)
x = 39
The first angle = x = 39°.
The second angle = x + 12 = 39 + 12 = 51°.
∴ The two complementary angles are 39° and 51°.
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