Question

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

Answer 1

Step-by-step explanation:

let the angles be 5x and 7x

then,

given,

exterior angle of the triangle is 120°

So,

If ABC is the triangle then

angle ABO= 120°

SO,

angle ABO + angle BAC= 180° ( as it is a straight line)

120° + BAC = 180°

BAC = 180°—120°

BAC=60°

therefore,

angle BAC+ABC+ACB=180° ( as sum of interior angles

in a triangle is 180°)

60°+5x+7x=180°

12x = 180°—60°

12x = 120°

X= 120/12=10

then

7x = 7×10= 70°

5x = 5×10 = 50°

Bhai kar diye ab brainliest Bana de