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In the given figure, if ZRPS = 25°, the value of ZROS is ______

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Question

In the given figure, if ZRPS = 25°, the value of ZROS is ______ 

 

Options

  • 135°

  • 145°

  • 165°

  • 155°

MCQ
Fill in the Blanks
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Solution

In the given figure, if ZRPS = 25°, the value of ZROS is 155°.

Explanation:

Since OR ⊥ PR and OS ⊥ PS
∴ ∠ORP = ∠OSP = 90°
In `square`ORPS, ∠ROS + ∠ORP + ∠RPS + ∠OSP = 360°
∠ROS + 90° + 25° + 90° = 360°
∠ROS = 360° - 205° = 155°

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