# In an isosceles triangle, if the measure of a base angle is 74°, what is the measure of the vertex angle?

The vertex angle would be

In an isosceles triangle the base angles would be congruent and therefore both have measures of

The three angles of any triangle must add up to

Therefore

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Since an isosceles triangle has two congruent base angles, if one base angle is 74°, then the other base angle is also 74°. The sum of the angles in any triangle is always 180°. Therefore, to find the measure of the vertex angle, subtract the sum of the base angles from 180°:

180° - (74° + 74°) = 180° - 148° = 32°

So, the measure of the vertex angle in the isosceles triangle is 32°.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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