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?
Algebra.Com
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
Answer by graphmatics(170) (Show Source): 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.
RELATED QUESTIONS
One angle of a triangle measures 12 degrees. The second angle's measurement is five time... (answered by checkley71)
One angle of a triangle measures 12 degrees.The second angle's measurement is
five... (answered by Fombitz)
One angle of a triangle is 20 degrees. The second angle's measurement is four times the... (answered by checkley71)
one angle of a triangle is 20 degrees. the second angles measurement is four times the... (answered by MathLover1)
One angle of a triangle is 20 degrees. The second angle's measurement is four times the... (answered by nerdybill)
One angle of a triangle is 20 degrees. The second angle’s measurement is four times the... (answered by mananth)
One angle of a triangle is 20 degrees. The second angle's measurement is four times the... (answered by Edwin McCravy)
The measure of one angle of a triangle is five times that of a second angle, and the... (answered by checkley71)
The measure of one angle of a trianlge is five times that of a second angle, and the... (answered by uma)