Problema Solution
The first angle of a triangle is 4 degrees less than twice the second angle. The third angle is 25 degrees more than the second angle. What is the measure of the first angle?
Answer provided by our tutors
Second angle = x
First angle = 2x - 4
Third angle: x + 25
Their sum is 180, so
x + 2x - 4 + x + 25 = 180
4x + 21 = 180
4x = 159
x = 39.75
First angle = 2x - 4 = 2(39.75) - 4 = 79.5 - 4 = 75.5 degrees