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Question and choices are in the photo please explain the answer

Question and choices are in the photo please explain the answer-example-1

1 Answer

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Answer: 124º

Step-by-step explanation: Since RQO forms an isoceles triangle (this is because diagonals bisect each other, making diagonals congruent which forms the isoceles triangle), <QRO and <RQO are congruent, so <RQO is also 62º. This would mean that <QOR is 56º (all angles in a triangle have a sum of 180º). Since <QOR and <SOR form a linear pair, they are supplementary, meaning that they have a sum of 180º. 180 - 56 - 124º, so the size of the obtuse angle between the diagonals is 124º.

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