Question

The second angle of a triangle is 44 less than the first angle. The third angle is two times the first. Find the three angles. First angle: Second angle: Third angle:

Answer 1

Answer: x = 19 (?)

Step-by-step explanation: Let 1st angle of a triangle = x°, then 2nd angle = (x+44)°.

3rd angle = 2.(x+44)-28° or. (2x+60)°. , accordingly:-

x°+(x+44)° +(2x+60)° = 180°

or. 4x°+104°=180°.

or. 4.x° = 180°- 104°

or. x= 76°/4 =19°.

1st angle =x = 19°

2nd angle = x+44 = 19+44 = 63°.

3rd angle = 2x+60=2×19+60 = 98°.

Thus , angles are 19° , 63° and 98°. Answer.