Problema Solution
Find the angles of a triangle where the larger angle is 20 degrees greater than the smallest and the largest angle is twice the smallest angle.
Answer provided by our tutors
let x, y and z represent the angles of the triangle and let x<=y<=z
the larger angle is 20 degrees greater than the smallest
y = 20 + x
the largest angle is twice the smallest angle
z = 2x
the sum of the angles in a triangle equals to 180 degrees:
x + y + z = 180
by solving the system of equations
y = 20 + x
z = 2x
x + y + z = 180
we find
x = 40 degrees
y = 60 degrees
z = 80 degrees
click here to see the step by step solution of the system of equations
the angles of the triangle are 40, 60 and 80 degrees.