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yes,the given triangle is isosceles .
EXPLANATION:
"external angle in a triangle
= sum of two opposite angles of the external angle"
=> 130°=65°+angle A
=>angle A=130°-65°
=65°
Since two angles are equal then the opposite sides of the angles are also equal.
So,the given triangle satisfies the isosceles triangle condition.
:.the given triangle is isosceles triangle.
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