Angles of Triangle

Question

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

Answer 1

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

 

Let x = measure of first angle, in degrees.  Then the second angle's measure must be 4x. The third angle must be

5 + (5x).

 

Now add up those three angles and set the expression to 180.  Solve for x.

 

The second angle measures  4x, whatever that comes out as.