Question

the angles of a triangle are in the ratio 3:7:8, then find the sum of the largest and smallest angle​

Answer 1

Step-by-step explanation:

let the angles be

1st angle 3x

2nd angle 7x

3rd angle 8 x

Sum of the angles of triangle=180°

so angle1+angle 2+ angle

3=3x+7x+8x=18x

so 18x = 180 degree

x=180/80=10

x=10

now 1st angle = 3x = 3×10=30°

2nd angle= 7x=7×10=70°

3rd angle = 8x = 8×10=80°

Smallest angle= 30°

Largest angle= 80°

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Answer 2

The sum of the largest and smallest angle = 110°

Given :

The angles of a triangle are in the ratio 3 : 7 : 8

To find :

Find sum of the largest and smallest angle

Solution :

Step 1 of 3 :

Form the equation to find the angles

Here it is given that angles of a triangle are in the ratio 3 : 7 : 8

Let the angles are 3x , 7x , 8x

We know know that the sum of three angles of a triangle is 180°

Thus we get

3x + 7x + 8x = 180°

Step 2 of 3 :

Find the angles

3x + 7x + 8x = 180°

⇒ 18x = 180°

⇒ x = 10°

So the angles are 30° , 70° , 80°

Step 3 of 3 :

Find sum of the largest and smallest angle

The largest angle = 80°

The smallest angle = 30°

The sum of the largest and smallest angle

= 80° + 30°

= 110°

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