# The measure of a supplement of an angle is 12° greater than three times the measure of a complement. How do you find the measure of the angle?

The angle is ${51}^{o}$
$180 - a = 12 + 3 \cdot \left(90 - a\right) \implies 180 - a = 12 + 270 - 3 a \implies 2 a = 102 \implies a = 51$
The text contains a mathematical word problem asking for the measure of an angle based on the relationship between its supplement and complement. The solution to the problem is also provided, showing the steps to find the angle measure.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# The measure of a supplement of an angle is 12° greater than three times the measure of a complement. How do you find the measure of the angle?

The angle is ${51}^{o}$
$180 - a = 12 + 3 \cdot \left(90 - a\right) \implies 180 - a = 12 + 270 - 3 a \implies 2 a = 102 \implies a = 51$
user
The text contains a mathematical word problem asking for the measure of an angle based on the relationship between its supplement and complement. The solution to the problem is also provided, showing the steps to find the angle measure.

TYPE: SINGLE_QUESTION_WITH_ANSWER