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Important Properties of Triangles

In a triangle...

Question

In a triangle two angles are equal. Prove that the triangle's two sides are equal.

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Q. Prove that if two angles of a triangle are equal, then opposite sides to them are also equal.

Q. If two angles of a triangle are equal, then prove that sides opposite to them are also equal.

Q. Prove that angles opposite to equal sides of a triangle are equal.

Q. Prove that two triangles are congruent if any two sides and the
included angle of one triangle is equal to any two sides and the included angle of other triangle.

Q. Prove that if in two triangles, corresponding angles are equal then their corresponding sides are in the same ratio and hence the two triangles are similar.

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