8. Calculate the angles of a triangle if they are in the ratio 4:5:6.
9. One angle of a triangle is 60°. The other two angles are in the ratio 6:4. Find the other angles.
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Question~
Calculate the angles of a triangle if they are in the ratio 4:5:6.
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Given :
- Ratios of Angle = 4:5:6
To find :
- the angles of a triangle in the ratio of 4:5:6
Solution :
✳ The total angles of a Triangle are 180°.
⇒ Let's find the angles.
4:5:6 = 180°
4x + 5x + 6x = 180°
15x = 180/15
= 12
4x = 4 × 12
= 48°
5x = 5 × 12
= 60°
6x = 6 × 12
= 72°
- Therefore, the angles are 48°, 60° and 72°.
Question~
One angle of a triangle is 60°. The other two angles are in the ratio 6:4. Find the other angles.
------------------
Given :
- Ratios of Angle = 4:5:6
To find :
- the angles of a triangle in the ratio of 4:5:6
Solution :
✳ The total angles of a Triangle are 180°.
⇒ Let's find the angles.
= 180° - 60°
= 120°
6:4 = 120°
4x + 6x = 120°
10x = 120/10
= 12
4x = 4 × 12
= 48°
6x = 6 × 12
= 72°
- Therefore, the angles are 60°, 48°, and 72°.
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