one of the exterior angles of a triangle is 100 degree and its interior opposite angle are equal to each other what is the measure of each of these two angles
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The exterior angle sum property of a ∆ states that the sum of two opposite angles of a ∆ is exactly equal to the exterior angle...
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Answer: The measure of each of these two interior angles will be 50° .
Step-by-step explanation:
Given , in ∆ ABC , in which the side BC is extended outwards till point R.
Angle A = Angle B = x
Also, Angle ACR = 100°
we know that ,
Exterior angle of triangle = the sum of the opposite interior angles of the triangle .
Therefore , Angle ACR = Angle A + Angle B
100° = x + x
That implies x = 50° .
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