Question

the exterior angle at C of a Triangle ABC is equal to 120degrees .Find the measure of all the angle of the triangle if angle A = anlge B .what type of triangle is this

Answer 1

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Here, we have
angle A = angle B. .................... (1)

Now, exterior angle at C is 120°
So, angle C + 120° = 180°.
Or, angle C = 180 - 120 = 60°

Now, using the anglesum property of a
triangle, we have
angle A + angle B + angle C = 180
Or, angle A + angle A = 180 - 60 = 120 [since, angle A = angle B, from (1)]
Or, 2 * angle A = 120
Or, angle A = 120/2 = 60.

And angle B = angle A = 60°

Thus, in the triangle, all the angles are equal angle A = angle B = angle C

Hence, it is an equilateral triangle.

Hope this helps,.

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Answer 2

Answer:

angle c = 180°- 120° = 60°

angle a = angle b =x

therefore a+b+c = 180°

x+x+60°=180°

2x = 180°-60°

2x=120°

therefore, x=60°