How to find an angle in an acute / obtuse isosceles triangle - ISEE Upper Level Quantitative Reasoning

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Question

One of the base angles of an isosceles triangle is . Give the measure of the vertex angle.

Answer

The base angles of an isosceles triangle are always equal. Therefore both base angles are .

Let the measure of the third angle. Since the sum of the angles of a triangle is , we can solve accordingly:

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Question

One of the base angles of an isosceles triangle is . Give the measure of the vertex angle.

Answer

The base angles of an isosceles triangle are always equal. Therefore both base angles are .

Let the measure of the third angle. Since the sum of the angles of a triangle is , we can solve accordingly:

Compare your answer with the correct one above

Question

One of the base angles of an isosceles triangle is . Give the measure of the vertex angle.

Answer

The base angles of an isosceles triangle are always equal. Therefore both base angles are .

Let the measure of the third angle. Since the sum of the angles of a triangle is , we can solve accordingly:

Compare your answer with the correct one above

Question

One of the base angles of an isosceles triangle is . Give the measure of the vertex angle.

Answer

The base angles of an isosceles triangle are always equal. Therefore both base angles are .

Let the measure of the third angle. Since the sum of the angles of a triangle is , we can solve accordingly:

Compare your answer with the correct one above

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