please answer this
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Answer :-
Given :-
- POR : ROQ = 5 : 7
Let :-
- POR = 5x
- ROQ = 7x
Now,
- POR + ROQ = 180° (Linear Pair)
- 5x + 7x = 180°
- 12x = 180°
- x = 180°/12
- x = 15°
Therefore,
- POR = 5x = 5(15°) = 75°
- ROQ = 7x = 7(15°) = 105°
This implies that :-
- QOS = POR = 75° [Vertically opposite angles]
- POS = ROQ = 105° [Vertically opposite angles]
Hence, all angles are found.
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Answer:
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