Question

An exterior angle of triangle measures 120° and its interior opposite
angles are in ratio 7: 5. Find the angles of the triangle.​

Answer 1

Answer:

10 degree

Step-by-step explanation:

let it be x

7x+ 5x = 12x

120/12

10

Answer 2

✰Question:-

• An exterior angle of triangle measures 120° and its interior opposite angles are in ratio 7: 5. Find the angles of the triangle.

$\large{ \underline{ \underbrace{ \bf{ \red{Understanding \: the \: question : - }}}}}$

We know that the sum of angles of a triangle is 180°.Hence we are given the measure of one side and ratio of other two sides.

Given :-

• Measure of one angle is 120°
• Ratio is 7:5

To find:-

• Measure of other 2 sides

❈Solution:-

• Let the other two angles be 7x and. 5x

⇨7x+5x+120°=180°

⇨12x+120°=180°

⇨12x=180-120°

⇨12x= 60°

$⇨x = \frac{60}{12}$

⇨x= 5

Therefore the required value for x is 5

Now, The measures of other angles are

• 7x=7×5 =35°
• 5x =5×5 =25°

Therefore the measure are 35° and 25°

✩｡:•.───── ❁❁ ─────.•:｡✩