Question

The second angle of a triangular kite is four times as large as the first. The third angle is 5 more than the sum of the other two angles. Find the measure of the second angle.

Answer 1

ans 70 degrees

let first angle be x
the second angle = 4x
..
Third angle =(x+4x)+5
....
x+4x+5x+5 =180
10x+5 =180
-5
10x+5-5 = 180-5
10x = 175
/10
x= 175/10

second angle = 4x = 4*17.5 = 70 deg