Two complementary angles differ by 8°. What are the angles?

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112°, 68°

41°, 49°

13°, 167°

0°, 180°

answer is B.

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Detailed Solution

Given, two complementary angles differ by 8°.
When the sum of a pair of angles is 90 degrees then they are called complementary angles.
Let one of the angles be x°.
So the other angle should be 90 - x°.
According to the question,

x - (90 - x) = 8 .

x - 90 + x = 8

x = 49
The other angle is 90 - x°.
= 90 - 49
= 41°
Hence the two angles are 41° and 49°.
So, option 2 is correct.

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