Two complementary angles differ by 12° then the angles are A) 53°, 41° B) 51°, 39° C) 54°, 42° D) 52°, 40° Ο Α OB О

Question

Two complementary angles differ by 12° then the
angles are
A) 53°, 41° B) 51°, 39° C) 54°, 42° D) 52°, 40°
Ο Α
OB
Ос
OD​

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2 weeks 2021-09-10T20:41:34+00:00 2 Answers 0 views 0

• Option (B) 51°, 39° is correct.

Given :–

• Two complementary angles differ by 12°.

To Find :–

• The angles.

Solution :–

Let,

The first angle be x.

We know that,

Sum of two complementary angles = 90°.

That means,

The second angle be 90° – x.

According to the condition,

Difference between both angles is 12°.

I.e.,

• First angle – Second angle = 12°

So,

Now, open the bracket.

So,

The first angle = x = 51°

The second angle = 90° – x = 90° – 51° = 39°

Hence,

The first angle is 51° and the second angle is 39°.

So, the option (B) is correct.

Verification :–

Substitute the both angles in equation (1),

Here the values are,

• x = 51°
• 90° – x = 39°
• Difference between both the angles = 12°