Question

Three angles are in the ratio 7:4:1 and form linear angles, then find the measure of all the three angles.​

Answer 1

Answer:

Let these ratio be 7x, 4x, x

As linear angle forms 180°

7x + 4x + x= 180

12x =180°

x = 15

7x = 15× 7 = 105

4x = 4× 15 = 60

x = 15

So the measures of angles are 105, 60, 15

Answer 2

$\sf\huge\bold{Answer:}$

Given :

Ratio of angles = 7:4:1

Also these three angles form Linear pair

To find :

Measure of all three angles

Solution :

Since these three angles are linear angles

i.e Sum of these three angles = 180°

Let 1st angle be 7x

2nd be 4x

3rd be 1x

According to Question :-

$:⟶7x+4x+1x=180°$

$:⟶12x=180°$

$:⟶x = \frac{180 \degree}{12}$

$:⟶x=15°$

$\sf\purple{□ 1st \:Angle = 7x = 7×15° = 105°}$

$\sf\purple{□ 2nd\: Angle = 4x = 4×15° = 60°}$

$\sf\purple{□ 3rd\: Angle = 1x = 1×15° = 15°}$