Question

one angle of a triangle measures 40 degree and the other two angles are in the ratio 1:3 . find these angles​

Answer 1

Answer:

let angles be x &3x.

Sum of angles of triangle =180

40°+x+4x =180°

40°+4x=180°

4x=180°-40°

4x=140°

x=140°\4

x=35°

3x=105°

Angles are 35° and 105°

Answer 2

Answer:

the other 2 angles are 35° & 105°.

Explanation:

let the other 2 angles be X and 3x.

As we know that the sum of interior angles in the triangle = 180°.

so, 40° + X + 3x = 180°.

40° + 4x = 180°.

4x = 180° - 40°.

4x = 140°.

X = 140°/ 4.

1st angle , X = 35°.

so, the 2nd angle = 3x = 3*35° = 105°.