Question

In a triangle, the exterior angle is 120° and the interior opposite angle are equal to each othero. Find the
measure of all angles​

Answer 1

Answer:

60°, 60°, 60°

Step-by-step explanation:

Let the measure of each interior equal angle be 'x'.

Using the properties of triangles, sum of two interior angles is equal to the opposite exterior angle.   Here,

⇒ 120° = x + x

⇒ 120°  = 2x      

⇒ 120°/2 = x

⇒ 60° = x

Let the remaining angle be 'a'.

Sum of all the angles in a triangle is 180°

⇒ x + x + a = 180°

⇒ 60° + 60° + a = 180°

⇒ a = 60°

  Measure of the angles is 60°,60°,60°

Answer 2

Answer:

Given :-

Exterior angle = 120

To Find :-

Measure of all angles

Solution :-

Let the angles be c

Now,

Since opposite angles are equal so, The angles are same

120 = x + x

120 = 2x

120/2 = x

60 = x

Therefore, angles will measure as 60⁰,60⁰,60⁰