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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


A

37.5

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B

52.5

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C

72.5

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D

75

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Solution

The correct option is B

52.5


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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