Question

The angles of a triangle are in the ratio 3:7:8 . Find the greatest and the smallest angles .​

Answer 1

Answer:

30,70,80

Step-by-step explanation:

3x + 7x + 8x = 180°

18x = 180

x = 10

So, the angles are

3×10 = 30°

7×10=70°

80×10=80°

VERIFICATION

30 + 70+80=180

Answer 2

Given that angles of a triangle are in the ratio of 3:7:8.

• Let suppose that common factor of ratio is x

Therefore,

Angles of triangle will be 3x,7x and 8x.

We know that :

• (Sum of angles of triangle = 180°)*

Hence,

3x + 7x + 8x = 180°

→ 18x = 180°

→ x = 180/18

→ x = 10°

Therefore,

Angles of triangle will be :

• 3x = 3×10 = 30°
• 7x = 7×10 = 70°
• 8x = 8×10 = 80°

Now,

We have find greatest and smallest angle of triangle.

Hence,

• Smallest angle of traingle = 30°
• Greatest angle of triangle = 80°

Know more :

• * According to angle sum property of triangle, sum of interior angle of triangle is always equal to 180°
• Sum of length of two sides of any triangle is always greater than 3rd side
• According to exterior angle property of triangle,measure of exterior angle of triangle is equal to measure of two interior opposite angles of triangle.