Problema Solution
The second angle of a triangle is twice as large as the first. The third angle is 15 degrees less than the sum of the first two angles. Find the measure of each angle.
Answer provided by our tutors
let the angles of the triangle be x, y and x and let x<=y<=z
x +y + z = 180 since they are angles of a triangle
the second angle of a triangle is twice as large as the first
y = 2x
the third angle is 15 degrees less than the sum of the first two angles
z = (x + y) - 15
by solving the system of equations
x +y + z = 180
y = 2x
z = (x + y) - 15
we find
x = 32.5 degrees
y = 65 degrees
z = 82.5 degrees
click here to see the step by step solution of the system of equations
the angles are 32.5, 65 and 82,5 degrees.