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If Two Angles of a Triangle Are Congruent Then the Sides Opposite to Them Are Congruent

The figure be...

Question

The figure below is an isosceles triangle in which the two sides AB and AC are equal. If $∠ A B C = 65^{\circ}$ , what is the value of $∠ A C B$ ?

45^{\circ}

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75^{\circ}

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65^{\circ}

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85^{\circ}

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Solution

The correct option is C $65^{\circ}$
According to isosceles triangle theorem, "If two sides of a triangle are congruent then the angles opposite to them are congruent"

The angles opposite to congruent sides are $∠ A C B$ and $∠ A B C$ and they are equal .

So, $∠ A C B = 65^{\circ}$

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The figure below is an isosceles triangle in which the two sides AB and AC are equal. If ∠ABC=65∘, what is the value of ∠ACB ?

The correct option is C 65∘According to isosceles triangle theorem, "If two sides of a triangle are congruent then the angles opposite to them are congruent" The angles opposite to congruent sides are ∠ACB and ∠ABC and they are equal . So, ∠ACB=65∘

The figure below is an isosceles triangle in which the two sides AB and AC are equal. If $∠ A B C = 65^{\circ}$ , what is the value of $∠ A C B$ ?

The correct option is C $65^{\circ}$
According to isosceles triangle theorem, "If two sides of a triangle are congruent then the angles opposite to them are congruent"

The angles opposite to congruent sides are $∠ A C B$ and $∠ A B C$ and they are equal .

So, $∠ A C B = 65^{\circ}$