Question

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

Answer 1

Answer:

70°

Explanation:

From the triangle ABC

Consider ∠A=60∘

,∠B:∠C=5:7

In a triangle

∠A+∠B+∠∠C=180∘

Substituting the values

60∘

+∠B+∠C=180∘

By further calculation

∠B+∠C=180∘

–60∘

=120∘

Take ∠B=5x and ∠C=7x

Substituting the values

5x+7x=120∘

12x=120∘

x=120∘

/12=10∘

So we get

∠B=5x=5××10°

=50∘

∠C=7x=7××10∘

=70°

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Answer 2

Let the two angles be 5x and 7x

ATQ,

5x + 7x + 60 = 180° [ According to Angle Sum Property of Traingle ]

12x + 60 = 180°

12x = 180 - 60

12x = 120°

x = 120/ 12

x = 10°

Then,

Angle 1 = 5 × 10 = 50°

Angle 2 = 7 × 10 = 70°

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