Question

one side of a triangle is produced and the exterior angle so formed is 120.if the interior
opposite angles are in ratio 2:3,find the measure of each angle of the triangle

Answer 1

here is your anger mate

we know that exterior angle is equal to sum of two interior opposite angles.

let the two interior angles be 2x and 3x
2x+3x=120
5x=120
x=120/5
x=24

2x=48
3x=72

angles In a triangle add up to 180
let the unknown angle be x
x+48+72=180
x+120=180
x=180-120
x=60

the angles in the triangle are 60°,48° and 72°

hope it helps.

Answer 2

Hello, here is your answer:
Let, the opposite angles of the triangle are 2x° and 3x°.
third angle = 180°-120°
=60°
Hence, 2x°+3x°+60°=180°. (sum of all angles of triangles)
5x°=180°-60°
x°=120°/5=24°

first angle=2x°=2×24° =48°
second angle=3x°=3×24°=72°

Hey, this is your answer but please mark me as brainiliest.