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Two supplementary angles differ by 44°. What are the angles?

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112°, 68°

12°, 168°

13°, 167°

0°, 180°

answer is A.

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Detailed Solution

Given, two supplementary angles differ by 44°.
When the sum of a pair of angles is 180 degrees then they are called supplementary angles.
Let one of the angles be x°.
So the other angle should be 180 - x°.
According to the question,

x - (180 - x) = 44

.
x - 180 + x = 44
x = 112
The other angle is

180 - x = 180 - 112 = 68

.
Hence the two angles are 112° and 68°.
So, option 1 is correct.

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