67.1k views
4 votes
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.

1 Answer

3 votes

Answer: 45° and 60°.

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°.

User Rudiger Wolf
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories