Question

The angles of triangle are in the ratio 5.4.3. Find the measure of each angle.​

Answer 1

Ratio of angles = 5:4:3

It is a triangle

find: the angles

METHOD 1:

5+4+3 = 12

$\frac{5}{12} \times 180$

$= 75(angle1)$

$\frac{4}{12} \times 180$

$= 60(angle2)$

$\frac{3}{12} \times 180$

$= 45(angle3)$

Hence the three angles are 75°,60° and 45°.

METHOD 2:

Let the angles be 5x,4x and 3x

5x + 4x + 3x = 180 (as all the angles add up to 180 in a triangle)

12x = 180

$x = \frac{180}{12}$

x = 15

therefore the angles are :

5(15) = 75°

4(15) = 60°

3(15) = 45°

Hope it helps

have a great day

Answer 2

Given:

ratio of angle of triangle are in ratio = 5:4:3

Find: measure of each angles of triangle

let the ratio of an angle of a triangle be x .

so, now ratio are

5x , 4x , 3x

measure of all angle of triangle = 180°

so,

5x + 4x + 3x = 180

12x = 180

x = 180/ 12

x = 15°

first angle = 5x = 5 × 15° = 75°

second angle = 4x = 4 × 15 = 60°

third angle = 3x = 3 × 15 = 45° .