Question

me angles of a triangle are in the ratio 3:5:7. Find ench angle
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Answer 1

We Know Sum Of 3 angles = 180°

Let

$3x + 5x + 7x = 180$

$15x = 180$

$x = 180 \div 15$

x = 12°

Now each angles are :

3 × 12 = 36°

5 × 12 = 60°

7 × 12 = 84°

So anles are 36° , 60° , 84°

Answer 2

Given :-

• Angles of triangle are in the ratio = 3:5:7

To Find :-

• Each angle.

Solution :-

Let the required three angles be (3x)° , (5x)° and (7x)°.

• As we know that sum of all angles of triangle is 180⁰.

$\sf \: 3x + 5x + 7x = 180$

$\sf \: 15x = 180$

$\sf \: x =\cancel { \dfrac{180}{15}}$

$\boxed{\bf \: x = 12}$

Let's find angle :

• $\sf (3x)^{\circ} = {(3\times12)}^{\circ} = 36^{\circ}$

• $\sf (5x )^{\circ}={( 5\times12)}^{\circ} = 60^{\circ}$

• $\sf (7x)^{\circ} = {(7 \times 12)} ^{\circ}= 84^{\circ}$