Question

8. The angles of a triangle are in the ratio 3:7:8, then find the sum of the largest and smallest angle.
b. IfZ:Y=
1 1
then find X: Y.
4.51​

Answer 1

Answer:

Given below

Step-by-step explanation:

we know sum of all the angles in a triangle is 180°.

So,

3:7:8 = 180°

=> 3x + 7x + 8x = 180°

=> 18x = 180°

=> x = (¹⁸⁰/18)°

=> x = 10°

=> 3x = 30°

=> 7x = 70°

=> 8x = 80°

So the angles are 80°, 70°, 30° and the sum of the smallest and largest angles is 100°

Answer 2

Given :

• Ratio of the angles 3:7:8

To find :

• Smallest and the largest angles

According to the question,

Let the angles be 3x, 7x and 8x

As we know,

Sum of all angle of a triangle is 180°

→ 3x + 7x + 8x = 180°

→ 18x = 180°

→ x = 180° ÷ 18

→ x = 10°

❆ Value of 3x :

→ 3x

→ 3(10°)

→ 30°

❆ Value of 7x :

→ 7x

→ 7(10°)

→ 70°

❆ Value of 8x :

→ 8x

→ 8(10°)

→ 80°

So,the largest angle is 80° and smallest angle is 30°.

Now,

The sum of their largest and smallest angle

→ 80° + 30°

→ 110°

So,the answer is 110°.