SOLUTION: The second angle of a triangle is 4 times as large as the first. The third angle is 80° more than the sum of the other two angles. Find the measure of the second angle.
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Question 275997: The second angle of a triangle is 4 times as large as the first. The third angle is 80° more than the sum of the other two angles. Find the measure of the second angle. Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! The second angle of a triangle is 4 times as large as the first. The third angle is 80° more than the sum of the other two angles. Find the measure of the second angle.
let one angle be x
the second angle will be 4x
The third angle will be 80 more than (x+4x)
= x+4x+80
The sum of the angles of the triangle = 180 deg
x+4x+x+4x+80=180
10x=180-80
10x=100
x=10 first angle
Second angle is 40
Third angle is 130 deg.
