Question

rupees 720 is divided between X
The angles of a triangle are in the ratio 3:2:7. Find each angle.​

Answer 1

Answer:

Correct Question :-

Angles of triangle are in ratio 3:2:7. Find each angle

Given :-

• Angles are in ratio 3:2:7

To Find :-

Angles

Solution :-

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

Let the angles be 3x, 2x and 7x.

$\tt \: 3x + 2x + 7x = 180$

$\tt \: 12x = 180$

$\tt \: x \: = \dfrac{180}{12}$

$\tt \: x \: = 15$

Angles are

$\sf \: 3x = 3(15) = 45$

$\sf \: 2x = 2(15) = 30$

$\sf \: 7x = 7(15) = 105$

Answer 2

$\large\underline{ \underline{ \sf \maltese\:{Given:-}}}$

• Angles of triangle are in the ratio = 3:2:7

$\large\underline{ \underline{ \sf \maltese \:{To \: find:-}}}$

• Measure of each angle.

$\large\underline{ \underline{ \sf \maltese \:{Solution:-}}}$

Let:–

• The angles of the triangle = 3x, 2x and 7x

Since,

The sum of the angles of a triangle is always 180°

∴ 3x + 2x + 7x = 180

⇒ 12x = 180

⇒ x = $\dfrac{\cancel{180}}{\cancel{12}}$

⇒ x = 15

∴ 3x = 3 × 15 = 45

∴ 2x = 2 × 15 = 30

∴ 7x = 7 × 15 = 105

$\large\underline{ \underline{ \sf \maltese\:{Answer:-}}}$

• The angles of the triangle are 45°, 30° and 105°