Question

: One of the angles of a triangle is 120∘ and the other two angles are equal. Find the measure of each of the equal angles.
a) 30∘, 30∘
b) 40∘, 40∘
c) 45∘, 45∘
d) 50∘, 50​

Answer 1

Step-by-step explanation:

We know that,

Sum of measures of angles of a triangle is 180°.

One of the angle is 120° and the other two are equal.

Let the three angles be x, y and z.

x + y + z = 180°

120° + y + z = 180°

y + z = 180° - 120°

y + z = 60°

The two angles are equal.

60/ 2 = 30°

Answer is 30°, 30°.

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Answer 2

Step-by-step explanation:

we know that,

sum of measure of angle of a triangle is 180°

one of the angle is 120° and the other two are equal

let the three angle be x, y and z

x+y+z = 180°

120° +y+z =180°

y+z= 60°

the two angle are equal

60/2 = 30°

answer is 30° , 30°