Problema Solution
A triangle has angles described as follows: The 2nd angle is 5 less than twice the first angle. The third angle is 25 more than the first angle. What are the sizes of each of the angles?
Answer provided by our tutors
let
a = the first angle
b = the second angle
c = the third angle
since a, b and c are angles of a triangle
a + b + c = 180
the 2nd angle is 5 less than twice the first angle
b = 2a - 5
the third angle is 25 more than the first angle
c = 25 + a
by solving the system of equations
a + b + c = 180
b = 2a - 5
c = 25 + a
we find
a = 40
b = 75
c = 65
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the angles of the triangle are 40, 75 and 65.