Problema Solution
The smallest angle in a triangle measures 90 degrees less than the largest angle. the middle angle measures 60 degrees less than the largest angle. Find the measure of each angle
Answer provided by our tutors
the sum of the angle measures in a triangle is always 180 degrees
let the largest angle measure x degrees
the smallest is then x - 90
the middle is then x - 60
set the sum of the three angles equal to 180
x + x - 90 + x - 60 = 180
3x - 150 = 180
3x = 330
x = 110
so the largest angle is 110 degrees
the smallest angle is 110 - 90, or 20 degrees
and the middle angle is 110 - 60, or 50 degrees