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Q.

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


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a

112°, 68°

b

41°, 49°

c

13°, 167°

d

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