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In the figure POQ, ROS and TOU are straight lines. Find the x°.

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In the figure POQ, ROS and TOU are straight lines. Find the x°.

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Given TOU is a straight line. 

∴ The sum of all angles formed at a point on a straight line is 180° 

∠TOR + ∠ROP + ∠POV + ∠VOU = 180°. 

36° + 47° + 45° + x° = 180°. 

128° + x° = 180° 

128° + x° – 128° = 180° – 128° 

x = 52°

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