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Isosceles triangle: equal base angles, find an angle

This type of question, asked 3 times: 11 Sep 2024 S2, 11 Sep 2024 S3, 24 Sep 2024 S1. All 3 questions below, oldest first.

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  1. Question 1

    11 Sep 2024 S2

    52
    In a triangle ΔABC\Delta ABC, AB = AC and ∠A=80∘\angle A = 80^\circ, then find ∠B\angle B.

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  2. Question 2

    11 Sep 2024 S3

    70
    In a ΔLMN\Delta LMN, ∠L=118∘\angle L = 118^\circ and LM = LN. Find ∠N\angle N.

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  3. Question 3

    24 Sep 2024 S1

    65
    Triangle XYZ is an isosceles triangle with sides XY = XZ. If the measure of angle Y is 80∘80^\circ, what is the measure of angle X?

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