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Q.

If the exterior angle of a triangle is 130oand its interior opposite angles are equal, then measure of each interior opposite angle is


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a

55°

b

65°

c

50°

d

60°  

answer is B.

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Detailed Solution

It is given that the measure of the exterior angle is 130° and its interior opposite angles are equal.
Let the measure of the interior opposite angles be x°.
Since opposite angles are given to be equal, we get
 130°=x+x
 ⇒2x=130° ⇒x=130°2
 ⇒x=65° Therefore, the measure of each of the interior angle is 65°.
Therefore, the correct option is 2.
 
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