Question

one angle of a triangle is 60°. The other two angles are in the ratio 5:7. Find the two angles​

Answer 1

Answer:

50° and 70°

Step-by-step explanation:

m∠A + m∠B + m∠C = 180°

Assume, that ∠B : ∠C = 5 : 7 , then

m∠A = 60°, m∠B = 5x°, m∠C = 7x°

60° + 5x° + 7x° = 180°

12x° = 180° - 60°

12x° = 120°

x° = 10°

m∠B = 50° and m∠C = 70°

Answer 2

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Given :

• One angle of triangle

• Ratio of other two angles are 5:7

To Find :

• Other two angles

Solution :

Let the angles be 5x and 7x

According to question,

➨ 60° + 5x + 7x = 180°

➨ 5x + 7x = 180°

➨ 12x = 180°

➨ x = 15

Angles of triangle,

5x = 5 × 15 = 75°

7x = 7 × 15 = 105°

Therefore, angles are 75° and 105°.