Math
posted by sadf on .
In the triangle ABC, angle ABC is x, angle BCA is x+40, and angle CAB is 2x. What is the measure of the largest angle (in degrees) ?

A = 2X, B = X, C = (X + 40).
A + B + C = 180 deg.
2x + x + (x + 40) = 180,
4x + 40 = 180,
4x = 180  40,
4x = 140,
x = B = 140 / 4 = 35 deg.
2X = A = 2*35 = 70 deg.
(x + 40) = C = 35 + 40 = 75 deg = Largest angle.