the exterior angle at C of angle abc is equal to 120 find the measure of all the angles of the triangle if angle A is equal to Angle B what type of triangle is this
Answers
Step-by-step explanation:
We have,
triangle ABC
A = B ,
Exterior angle at C is equal to 120
therefore,
angle C + 120 = 180 ......[ exterior angle property]
C = 180-120
C = 60 degree
Now,
Consider the triangle ABC
Let angle A = angle B = X (suppose)
angle A + angle B + angle C = 180
.....[ Sum of all angles of a triangle]
X + X + 60 = 180
2x = 180-60
2x = 120
x = 120/2
x = 60 degree
hence,
angle A = angle B = angle C = 60 degree
Therefore, this is an equilateral triangle whose all angles are equal.
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your answer is 60°
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