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Find the values of x and y in the given figure
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| Photo by Math Principles in Everyday Life |
Solution:
The given figure consists of two inscribed angles. Inscribed angle is an angle of which the vertex is located along the arc of a circle. The sides of the inscribed angles are the chords of a circle. ∠PSR and ∠PTQ are inscribed angles of circle O.
Let's consider ∠PTQ and draw the line segments OP and OQ as follows
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| Photo by Math Principles in Everyday Life |
If a theorem says "The measure of an inscribed angle is equal to half the measure of its intercepted arc.", then the value of x which is the measure of ∠PTQ is
Let's consider ∠PSR and draw the line segments OP and OR as follows
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| Photo by Math Principles in Everyday Life |
If a theorem says "The measure of an inscribed angle is equal to half the measure of its intercepted arc.", then the value of y which is the measure of arc QR is
