Question

The ratios of angles of a triangle are 7:8:5. Find the difference between largest and smallest angle

Answer 1

Step-by-step explanation:

Let the angles be 7x 8x and 5x

7x+8x+5x=180°

Or, 20x=180°

Or,x= 9

So, Largest angle= 8x=(8×9)°=72°

and smallest angle=5x=(5×9)°=45°

So the difference between largest and smallest angle=(72-45)°=27°

Answer 2

Answer:

Greatest angle is 72⁰

Smallest angle is 45⁰

Given

The angles of a triangle are in the ratio 7 : 8 : 5

olution :

Given that, The angles of a triangle are in the ratio is 7:8:5 so,

Let the angles of a triangle be 7x , 8x and 5x

As we know that,

Sum of angles of a triangle is equal to 180⁰

7x + 8x + 5x = 180⁰

20x = 180

x = 180/20

x = 9

7x = 7(9) = 63⁰

8x = 8(9) = 72⁰

5x = 5(9) = 45⁰

Greatest angle is 72⁰

Smallest angle is 45⁰

Hence , Greatest and smallest angle is 72⁰ and 45⁰

Method (2) :

As we know that,

sum of angles of a triangle is equal to 180⁰

Given that , 7 : 8 : 5 ratio

Ratio = 7 + 8 + 5 = 20

Now,

Smallest angle = 5/20 × 180 = 45⁰

Greatest angle = 8/20 × 180 = 72⁰