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.

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