Consider the diagram and proof by contradiction. given: △abc with ab ≅ ac since it is given that ab ≅ ac, it must also be true that ab = ac. assume ∠b and ∠c are not congruent. then the measure of one angle is greater than the other. if m∠b > m∠c, then ac > ab because of the triangle parts relationship theorem. for the same reason, if m∠b < m∠c, then ac < ab. this is a contradiction to what is given. therefore, it can be concluded that

The conclusion is ∠B and ∠C are congruent.

Step-by-step explanation:

Given a △ABC with AB ≅ AC

Since AB ≅ AC implies AB=AC.

Now as given assumption ∠B and ∠C are not congruent. Then the measure of one angle is greater than the other and if    

m∠B > m∠C, then AC > AB because of the triangle parts relationship theorem.

and if m∠B < m∠C, then AC < AB by the same reason.

As we know if in a triangle two sides are equal then the triangle becomes an isosceles triangle

Since triangle is isosceles then the angles opposite to equal sides are equal i.e

if AB=AC then ∠B = ∠C in △ABC

which is contradiction to the assumption that ∠B and ∠C are not congruent.

Therefore, it can be concluded that

∠B and ∠C are congruent.

∠B and ∠C

Step-by-step explanation:

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step-by-step explanation:

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step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.