Question

The ratio of angles of triangles is 3:5:7. Find out the measurements of all the angles

Answer 1

Given

• The ratio of angles of triangles is 3:5:7.

We Find

• Value of all angles

We know

$\boxed{\red{Sum \:of \:the\: angles\: =\: 180^o}}$

According to the question

☆ Let's the ratio be x,

So value of angles is 3x, 5x, 7x

☆ Sum of Angles = ${180}^{o}$

3x + 5x + 7x = ${180}^{o}$

15x = ${180}^{o}$

x = 180 / 15

x = ${12}^{o}$

So,

3x = 3 × 12 = ${36}^{o}$

5x = 5 × 12 = ${60}^{o}$

7x = 7 × 12 = ${84}^{o}$

So, Value of angles is 36, 60, 84

Verification

Sum of the Angles = ${180}^{o}$

36 + 60 + 84 = ${180}^{o}$

${180}^{o}$ = ${180}^{o}$

Hence its verified that, Value of angles is 36, 60, 84.

Answer 2

Step-by-step explanation:

the angles are 36 60 and 84

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