Mordred9571
04.11.2019 •
Mathematics
The sum of the measures of a triangle is 180. the sum of the measures of the second and third angles of four times the measure of the first angle. the third angle is 12 less than the second
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Ответ:
The correct answer is the 1st angle is 36 degrees, the 2nd angle is 78 degrees and the 3rd angle is 66 degrees.
Step-by-step explanation:
First angle degrees = x
Second and third angles degrees = 4x (Four times the measure of the 1st)
x + 4x = 180
5x = 180
x = 180/5
x = 36
The 1st angle has 36 degrees of measure;
therefore, the sum of degrees of 2nd and 3rd angle is 144 (180 - 36)
Now, we can calculate the measure of the 2nd and 3rd angle using this formula:
2nd angle degrees = x
3rd angle degrees = x -12 (12 degrees less than the 2nd)
x + x - 12 = 144
2x - 12 = 144
2x = 156
x = 78
The 2nd angle has 78 degrees and the 3rd angle 66 degrees
Ответ: