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.

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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:

$42+42+x=180\Rightarrow x=180-84\Rightarrow $x=96^{\circ}$$

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Question

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

Tap to reveal answer

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:

$42+42+x=180\Rightarrow x=180-84\Rightarrow $x=96^{\circ}$$

← Didn't Know|Knew It →

Question

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

Tap to reveal answer

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:

$42+42+x=180\Rightarrow x=180-84\Rightarrow $x=96^{\circ}$$

← Didn't Know|Knew It →

Question

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

Tap to reveal answer

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:

$42+42+x=180\Rightarrow x=180-84\Rightarrow $x=96^{\circ}$$

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