SOLUTION: the sum of the angles of a triangle is 180 degrees. angle a is twice as larg as angle b .angle a is 5 less than angle c write three equations and solve for the values of the three
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Question 1001483: the sum of the angles of a triangle is 180 degrees. angle a is twice as larg as angle b .angle a is 5 less than angle c write three equations and solve for the values of the three angles
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the sum of the angles of a triangle is 180 degrees. angle a is twice as larg as angle b .angle a is 5 less than angle c write three equations and solve for the values of the three angles
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Equations:
a + b + c = 180
a = 2b
a = c-5
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Substitute for "b" and for "c" and solve for "a"::
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a + (a/2) + (a+5) = 180
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(5/2)a = 175
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(1/2)a = 35
a = 70 degrees
b = a/2 = 35
c = a+5 = 75 degrees
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Cheers,
Stan H.
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