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ABC is a right angled triangle in which ∠ A = 90° and AB = AC. Find ∠ B and ∠ C.

7. ABC is a right angled triangle in which \small \angle A =90^{\circ} and \small AB=AC. Find \small \angle B and \small \angle C.

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In the triangle ABC, sides AB and AC are equal. 

We know that angles opposite to equal sides are also equal.

Thus,            \angle B\ =\ \angle C

Also, the sum of the interior angles of a triangle is 180^{\circ}.

So, we have :

                                      \angle A\ +\ \angle B\ +\ \angle C\ =\ 180^{\circ}

or                                                   90^{\circ} +\ 2\angle B\ =\ 180^{\circ}

or                                                                    \angle B\ =\ 45^{\circ}

Hence                        \angle B\ =\ \angle C\ =\ 45^{\circ}

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