Question

Three angles of a triangle is given in the ratio 5 : 3 : 7. Find the three angles of the triangle. ​

Answer 1

Answer:

Let the numbers be 5x,3x,7x respectively

Step-by-step explanation: We can use angle sum property if u r confused

n-2 x180

n= no of sides

so, 3-2 x 180 =1x 180 =180

Therefore 1980 is the total sum of triangle .

Hereafter, we can substitute

5x + 3x+ 7x= 180

15x= 180

x= 180/15

x=12 degree

so,

5x =5x 12 =60,

3x = 3x 12=36,

7x = 7x12=84

Finally, 60+36+84= 180

Hope this helps you!

Answer 2

★ Solution ↓

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Let the angles be 5x, 3x and 7x. As we know that sum of angles of a triangle is always 180°.

➥ According to question :-

→ Angle A + Angle B + Angle C = 180°

→ 5x + 3x + 7x = 180°

→ 8x + 7x = 180°

→ 15x = 180°

→ x = $\dfrac{180}{15}$

→ x = 12

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➥ Angle A = 5x = 5(12) = 60°

➥ Angle B = 3x = 3(12) = 36°

➥ Angle C = 7x = 7(12) = 84°

Therefore, the angles measure 60°,36° and 84° respectively.

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★ Verification :-

→ 5x + 3x + 7x = 180°

→ 5(12) + 3(12) + 7(12) = 180°

→ 60 + 36 + 84 = 180°

→ 96 + 84 = 180°

→ 180° = 180°

→ LHS = RHS

Hence, verified.

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