Question

Also,
7. One of the exterior angles of a triangle is 80° and the interior opposite angleze
in the ratio 5: 3. Find the angles of the triangle

​

Answer 1

$\huge\bold{Answer:-}$

Given:-

• The measure of the exterior angle of a triangle is 80°

• The interior opposite angles are in the ratio 5:3

To Find :-

• The measure of the two opposite interior angles .

Solution:-

let, the angles are in the ratio be 5x , 3x .

The measure of tbe exterior angle is 80°

We know,

The exterior angles of a triangle is equal to the sum of the two opposite interior angles .

Now,

ATQ

➾ 5x + 3x = 80°

➾ 8x = 80°

➾ x = $\dfrac{80°}{8}$

➾ x = 10°

As , the value of x is 10°

Now, putting the value of x in 5x , 3x we get -

5x = ( 5 × 10 ) ° = 50°

3x = ( 3 × 10 ) ° = 30°

Therefore, the value of two interior opposite angles are 50°, 30°

Answer 2

• The measure of the exterior angle of a triangle is 80°
• The interior opposite angles are in the ratio 5:3

• The measure of the two opposite interior angles .

Solution:-

• let, the angles are in the ratio be 5x , 3x .
• The measure of tbe exterior angle is 80°
• We know,The exterior angles of a triangle is equal to the sum of the two opposite interior angles