SOLUTION: The ratio of the measures of three angles of a triangle 5:7:8. Find the measure of each angle of the triangle.

Question 69344This question is from textbook Geometry
: The ratio of the measures of three angles of a triangle 5:7:8. Find the measure of each angle of the triangle. This question is from textbook Geometry

Found 2 solutions by checkley75, stanbon:
Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
5x+7x+8x=180
20x=180
x=180/20
x=9 thuis is the multiplier for all angles thus
5*9=45 answer for the smallest angle.
7*9=63 answer for the middle angle.
8*9=72 answer for the largest angle.
proof
45+63+72=180
180=180
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The ratio of the measures of three angles of a triangle 5:7:8. Find the measure of each angle of the triangle.
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EQUATION:
5x+7x+8x=180
20x=180
x=9
Angles are:
5x=45 degrees
7x=63 degrees
8x=72 degrees
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Cheers,
Stan H.
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