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Two complementary angles differ by 10°. What are the angles?

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112°, 68°

50°, 40°

13°, 167°

0°, 180°

answer is B.

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Detailed Solution

Given, two complementary angles differ by 10°.
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) = 10 .

x - 90 ° + x = 10

x = 50°
The other angle is

90 ° - x = 90 ° - 50 ° = 40 ° .

Hence the two angles are 50° and 40°.
So, option 2 is correct.

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