Nousa12
contestada

If one of the angle of a triangle is 75 degree and the other two angles are in the ratio of 3:4. find the value of the angles.

Respuesta :

Answer: 45° and 60°.

Step-by-step explanation:

The sum of the angles that are in a triangle is 180°. If one of the angle of a triangle is 75°, the remaining angle will be:

= 180° - 75°

= 105°.

Since the other two angles are in the ratio of 3:4 and the remaining angle is 105°, the value of the angles will be:

= 3/(3+4) × 105°

= 3/7 × 105°

= 45°

= 4/(3+4) × 105°

= 4/7 × 105°

= 60°

Therefore, the remaining angles are 45° and 60°.