SOLUTION: one angle of a triangle measures 12 degrees. the second angle's measurement is five times the third. what is the measure of the third angle?
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Question 303677: one angle of a triangle measures 12 degrees. the second angle's measurement is five times the third. what is the measure of the third angle? Found 2 solutions by Stitch, graphmatics:Answer by Stitch(470) (Show Source):
You can put this solution on YOUR website! The sum of the interior angles of a triangle equals 180.
So:
Subtract 12 from both sides Simplify Divide both sides by 6
You can put this solution on YOUR website! Express the first, second, and third angles of the triangle be expressed as x, y, and Z. From the first sentence x=12. From the second sentence y=5z. For triangles the sum of the angles of a triangle is 180. So we get three linear equations
x = 12
y = 5z
x+y+z = 180
Put the expressions for x and y fron the first and second equations into the third equation to get
12+5z+z = 180
6z = 180-12
6z = 168
So the third angle measurement, z, is
z=28.
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