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15 votes
15 votes
The measure of an angle is 5°. What is the measure of its supplementary angle?

User Simon Halsey
by
2.9k points

2 Answers

16 votes
16 votes

Answer:

175 degrees.

Explanation:

Supplementary angles add up to 180 degrees

Therefore the answer is:

180 - 5

= 175 degrees.

13 votes
13 votes

Hi Student!

The first step to almost any problem is that we must concentrate the important information that is given to us in the problem. This problem gives us information including that the measure of an angle is 5 degrees and that this angle is part of a supplementary pair. Let's define what a supplementary pair or angles are.

  • Supplementary Angles: These are two angles that are right next to each other on a straight line. These angles combine to a total of 180 degrees.

  • Complementary Angles: These are two angles that are right next to each other but this time they are on a right angle. These angles combine to a total of 90 degrees.

Now that we have our definitions and important information, we can move onto the next part which is actually finding the other angle. This step is simple now that we know that supplementary angles add up to 180. We can just create an equation that will help us determine our solution.


angle_1\ +\ angle_2 = 180\ degrees


5\ degrees\ +\ angle_2 = 180\ degrees


5\ degrees-5\ degrees\ +\ angle_2 = 180\ degrees-5\ degrees


angle_2 = 175\ degrees

Therefore, our final solution to the supplementary angle of 5 degrees is 175 degrees which can be found by subtracting the given angle from 180.

User Eduardo Iglesias
by
3.4k points
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