Problema Solution
The second angle of a triangle is 4 times as large as the first. The third angle is 80 degrees more than the sum of the other two angles. Find the measure of all three angles
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Solution:
y = 4x
z = x + y + 80
z = x + 4x + 80
z = 5x + 80
x + y + z = 180
x + 4x + 5x + 80 = 180
10x = 100
x = 10 degrees
y = 4(10) = 40 degrees
z = 10 + 40 + 80 = 130 degrees