Question

An exterior angle of a triangle is 120 degrees and the two interior opposite angles are equal .what is the measure of each of these angles?​

Answer 1

Answer:

measure of each of the angles is 60 degrees

Step-by-step explanation:

let each exterior angle be x

by exterior angle property

sum of opposite interior angle=exterior angle

x+x=120degrees

2x=120 degrees

x=120/2

x=60

Answer 2

The measure of each of these angles is 60°.

Step-by-step explanation:

Let the two interior opposite angles be 'x' as they are equal.

Measure of an exterior angle = 120°

As we know that

Sum of opposite interior angles = Exterior angle

$x+x=120^\circ\\\\2x=120^\circ\\\\x=\dfrac{120}{2}\\\\x=60^\circ$

Hence, the measure of each of these angles is 60°.

# learn more:

One of the exterior angles of a triangle is 120 and it's interior opposite angles are equale to each other .What is the measure of each of these two angles​

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