Answer:
50 degrees
Step-by-step explanation:
As the kite is triangular, the sum of all angles will be 180 degrees.
Let x be the first angle.
Then according to the statement second angle is four times as large as the first, second angle will be:
4x
And according to the statement, the third angle is 55 degrees ° more than the sum of the other two angles, third angle will be:
x+4x+55
So,
x+4x+x+4x+55=180
10x+55=180
10x= 180-55
10x=125
x=125/10
x=12.5 degrees
So first angle is 12.5 degrees.
Second angle = 4(12.5)
=50 degrees
Third angle = x+4x+55
= 12.5+50+55
= 117.5 degrees
To check if the sum of angles is 180 degrees
= 12.5+117.5+50 = 180
Hence, second angle is 50 degrees ..
