Question

2. The sum of the four angles is 360°. The second angle exceeds the first by three degrees. The third angle

is double the first. The fourth angle is double the first diminished by three degrees. Determine the
measure of each of the four angles.

Answer 1

The first angle is 60°; second angle is 63°; the third angle is 120°; and fourth angle is 117°.

Explanation:

Let the first angle be X,

ATP:

Second angle=X+3

Third angle=2X

And fourth angle= 2X-3

SUM OF ALL FOUR ANGLE=360°

X+(X+3)+(2X)+(2X-3)=360°

6X=360°

X=60 :

(X+3=60+3);(2X=60×2);(2X-3=120-3).