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Exterior angle equals the sum of the two opposite interior angles

This type of question, asked 2 times: 10 Sep 2024 S2, 22 Sep 2025 S1. All 2 questions below, oldest first.

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  1. Question 1

    10 Sep 2024 S2

    66
    If 45∘45^\circ and 65∘65^\circ are the angles of a triangle, then find the exterior angle of the third angle (remaining angle).

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  2. Question 2

    22 Sep 2025 S1

    69
    In a triangle ABC, side BC is extended to a point D. The exterior angle at C is 105∘105^\circ. The interior angles at A and B are in the ratio 2:5. What is the measure of the largest interior angle of the triangle?

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