In an isosceles triangle, what can be said about the base angles?

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Multiple Choice

In an isosceles triangle, what can be said about the base angles?

Explanation:
In an isosceles triangle, the two sides that are equal create two angles that are opposite those sides; those opposite angles are the base angles. Since the sides are equal, the angles facing them must be equal as well. So the two base angles are equal, no matter what the actual measures are. If you know the vertex angle, each base angle is (180° − vertex angle) ÷ 2. This property fits the isosceles shape and helps distinguish it from other possibilities, like an equilateral triangle where all three angles are equal (a special case), or any situation where you wouldn’t expect the base angles to be equal.

In an isosceles triangle, the two sides that are equal create two angles that are opposite those sides; those opposite angles are the base angles. Since the sides are equal, the angles facing them must be equal as well. So the two base angles are equal, no matter what the actual measures are. If you know the vertex angle, each base angle is (180° − vertex angle) ÷ 2. This property fits the isosceles shape and helps distinguish it from other possibilities, like an equilateral triangle where all three angles are equal (a special case), or any situation where you wouldn’t expect the base angles to be equal.

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