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2 votes
What is the measure of an angle if its two, adjacent, supplementary angles add up to 100°?

User Salva
by
7.0k points

2 Answers

3 votes

Final answer:

The measure of a supplementary angle to one measuring 100° is incorrect as supplementary angles must sum to 180°. To find the measure of a supplementary angle, subtract the given angle from 180°.

Step-by-step explanation:

The query is related to the concept of angles, specifically supplementary angles. When two adjacent angles are supplementary, they add up to 180°. However, in this particular case, the question mentions the sum of these two angles being only 100°, which seems like a misunderstanding. To clarify, two angles that add up to 100° are not supplementary by definition. If we are looking for the measure of an angle that is supplementary to another angle and their sum is given as 100°, then there is a mistake because supplementary angles must sum up to 180°.

If the student meant to say that the sum of a supplementary angle pair is 100°, then this would be incorrect. However, if the question is instead asking for the measure of an angle that is part of a pair of supplementary angles that sum to 180°, then we would need to subtract the given angle from 180° to find the measure of the unknown angle. For example, if one of the angles was given as 60°, then the measure of its supplementary angle would be 180° - 60° = 120°.

User Salmaan
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6.5k points
6 votes
Let x = the measure of the angle.

Because the sum of the two supplementary angles is 100°, therefore
x + 100° = 180°
x = 180 - 100 = 80°

Answer: 80°

User Paulkmoore
by
6.2k points
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