Problema Solution
The first angle of a triangle is 13 degrees more then the second angle. The third angle of a triangle is four times the second angle. Solve for the first angle
Answer provided by our tutors
let
a = the first angle
b = the second angle
c = the third angle
the first angle of a triangle is 13 degrees more then the second angle
a = 13 + b
the third angle of a triangle is four times the second angle
c = 4b
the sum of the angles of a triangle is 180 degrees
a + b + c = 180
by solving the system of equations
a = 13 + b
c = 4b
a + b + c = 180
we find
a = 40.83 degrees
click here to see the step by step solution of the system of equations
the first angle is 40.83 degrees.