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  • Write the correct answer in each of the following:An exterior angle of a triangle is 105° and its two interior opposite angles are equal. Each of these equal angles is

Write the correct answer in each of the following:
An exterior angle of a triangle is 105° and its two interior opposite angles are equal. Each of these equal angles is

(A) 34\frac{1}{2}^{\circ}

(B) 52\frac{1}{2}^{\circ}

(C) 72\frac{1}{2}^{\circ}

(D) 75^{\circ}

Answers (1)

Given ® Exterior Angle = 105^{\circ}

Let the two equal interior angle be x^{\circ}.

Sum of opposite interior angles of a triangle = Exterior angle of the triangle.

x^{\circ}+x^{\circ}=105^{\circ}

2x^{\circ} = 105^{\circ}

x^{\circ}=52\frac{1}{2}^{\circ}

So, option (B) is the correct Answer

 

Posted by

infoexpert26

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