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Question


An exterior angle of a triangle is 105o and its two interior opposite angles are equal. Each of these equal interior angles are


Options:
A .   37.5
B .   52.5
C .   72.5
D .   75
Answer: Option B
:
B

From the properties of triangles:


Exterior angle = Sum of interior opposite angles


Now let us take each interior opposite angle as x ( as both interior opposite angles are equal)


⇒ x + x = 105


⇒ 2x = 105


⇒ x = 52.5


So the value of each of the opposite interior angle =  52.5



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