) in the given figure, line PQ and RS intersect each other at point 0.
If POR: ROQ = 5:7, find all the angles.

By Maya

) in the given figure, line PQ and RS intersect each other at point 0.
If POR: ROQ = 5:7, find all the angles.

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Maya

1 thought on “) in the given figure, line PQ and RS intersect each other at point 0.<br />If POR: ROQ = 5:7, find all the angles.<br />​”

  1. Step-by-step explanation:

    POR+∠ROQ=180

    o

    (Linear pair of angles)

    But ∠POR:∠ROQ=5:7 (Given)

    Therefore, ∠POR=

    12

    5

    ×180=75

    o

    Similarly, ∠ROQ=

    12

    7

    ×180=105

    o

    Now, ∠POS=∠ROQ=105

    o

    (Vertically opposite angles)

    and ∠SOQ=∠POR=75

    o

    (Vertically opposite angles)

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