Question

The second angle of a triangular kite is four times as large as the first. The third angle is 15 degrees more than the sum of the other two angles. Find the measure of the second angle.

Answer 1

Let's set the first angle as x, the second angle is then 4x, and the third angle is (x+4x)+15, which is 5x+15
the three angles make a sum of 180: x+4x +5x+15=180
10x=165
x=16.5
the second angle is 4x=4*16.5=66