SOLUTION: The second angle of a triangular kite is four times as large as the first. The third angle is 75 degrees more the sum of the other two angles. Find the measure of the second angle.

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Question 271608: The second angle of a triangular kite is four times as large as the first. The third angle is 75 degrees more the sum of the other two angles. Find the measure of the second angle.
Answer by mananth(16946) About Me  (Show Source):
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The second angle of a triangular kite is four times as large as the first. The third angle is 75 degrees more the sum of the other two angles. Find the measure of the second angle.
We know that sum of all angles of a triangle is 180 degrees
let one angle be x
The other angle will be 4x
The third angle is 75 degrees more than x+4x
the third angle will be x+4x +75
x+ 4x + x+4x +75 =180 degrees
10x= 180 -75
x= 105 /10
x= 10.5 degrees.
The angles are 10.5, 42 and 127.5