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Q.

Find the measure of an interior and exterior angle at the vertex of an isosceles triangle measures Question Image.


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a

Interior angleQuestion Image degree, exterior angle Question Image degree

b

Interior angleQuestion Image degree, exterior angle Question Image degree

c

Interior angleQuestion Image degree, exterior angle Question Image degree

d

Interior angleQuestion Image degree, exterior angle Question Image degree 

answer is A.

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Detailed Solution

Concept- An isosceles triangle refers to a triangle with two equal-length sides. The angles apart from the apex angle are equal in size among the three interior angles.
 Consider Question Image as the exterior angle at vertex (in degrees).
Then, we can say that the exterior angle and the interior angle at vertex create a linear pair.
So, Question ImageQuestion ImageWe know the 2 base angles of an isosceles triangle are the same.
We represent each as Question Image.
By angle sum property,
Question ImageQuestion ImageQuestion ImageQuestion ImageTherefore, base angle Question Imageand exterior angle Question ImageHence, the correct answer is option 1) interior angle Question Image degree, exterior angle Question Image degree.
 
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