Problema Solution
The smallest angle in a triangle is half the largest angle. The middle angle measures 30 degrees less than the largest angle. Find the measure of each angle.
Answer provided by our tutors
let x, y, and z be the angles of the triangle and x<y<z
x + y + z = 180
the smallest angle in a triangle is half the largest angle
x = (1/2)z
the middle angle measures 30 degrees less than the largest angle
y = z - 30
by solving the system of equations
x + y + z = 180
x = (1/2)z
y = z - 30
we find
x = 42
y = 54
z = 84
click here to see the step by step solution of the system of equations
the angles are 42, 54 and 84.