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Q. 114.4( 16 Votes )

Two complementary angles differ by 12^o, find the angles?

Class 8th AP - Mathematics 2. Linear Equations in One Variable

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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