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Rhombus with interior point O, OA = OC: measure of angle between O and the other diagonal's ends

The same question, asked 2 times: 11 Sep 2024 S1*, 17 Sep 2024 S2. Every wording below, oldest first.

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  1. Question 1

    11 Sep 2024 S1

    51
    In a rhombus ABCD, O is any interior point such that OA = OC. What is five-ninths of the degree measure of ∠DOB\angle DOB?

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  2. Question 2

    17 Sep 2024 S2

    63
    In a rhombus PQRS, O is any interior point such that OP = OR. What is the degree measure of ∠SOQ\angle SOQ?

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