The map below shows that the waters within arc of 250 degrees is dangerous for shipping vessels. In the diagram, two lighthouses are located at points A and C and points P, R, and S are the locations of the ship at a certain time, respectively. What are the possible measures of angles P, R and S?
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Given : Two lighthouse are located at point A and C
To Find : Possible Measures of ∠P , ∠R and ∠S
Solution:
Arc ARC is 250°
=> ∠ARC = (1/2)250°
=> ∠ARC = 125°
=> Measure of ∠R = 125°
∠APC > ∠ARC
Hence Measure of ∠P > 125°
∠ASC < ∠ARC
Hence Measure of ∠S < 125°
Measure of ∠R = 125°
Measure of ∠P > 125°
Measure of ∠S < 125°
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