Discover Circle Theorem Help for Triangle PST: PSR Angle = 77 Degrees

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In triangle PST, angle PSR is calculated as 180 degrees minus the sum of the other two angles, which are 81 and 22 degrees, resulting in PSR being 77 degrees. The discussion confirms that this calculation is correct based on the principle that the sum of angles in a triangle equals 180 degrees. The context involves a circle with points PQRS and straight lines PQT and SRT. The approach to finding angle PSR adheres to the relevant geometric equations. The conclusion affirms the accuracy of the calculation.
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Homework Statement
Find angle PSR, if PQRS is a circle and PQT and SRT are straight lines
Relevant Equations
sum of angles in a triangle = 180 degree
IMG_20230610_014211 (1).jpg

From triangle PST, angle PSR = 180-(81+22)
=77 degrees sum of angles in triangle.
Is my attempt correct?
 
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Chijioke said:
Homework Statement: Find angle PSR, if PQRS is a circle and PQT and SRT are straight lines
Relevant Equations: sum of angles in a triangle = 180 degree

View attachment 329703
From triangle PST, angle PSR = 180-(81+22)
=77 degrees sum of angles in triangle.
Is my attempt correct?
Looks good to me.
 
I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks

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