Question

One of the exterior angles of a triangle is 120° and the interior opposite angles are in the ratio 2:4. Find
out the measure of all the interior angles.​

Answer 1

Hey mate! This is your answer.

Answer:

48° and 72°

Step-by-step explanation:

Exterior angle = 120°

Interior opposite angles = 2: 3

Let the common ratio be x.

So, interior opposite angles are 2x and 3x.

We know that ,

By exterior angle property of a triangle

Exterior angle is equal to the sum of interior opposite angles

120°=2x+3x

120°=5x

120°/5=x

24=x

So, angle 1 = 2×24

=48°

So, angle 2 =3×24

=72°

Hope it helps!

Please mark it as brainliest.

Answer 2

Step-by-step explanation:

let the internal opposite angles be 2x and 4x

since, External angle is equal to the sum of internal opposite angles

therefore, 2x + 4x = 120°

6x = 120°

x = 20°

Interior angles 2x= 2x20=40°

4x= 4x20= 80°