SOLUTION: The center of the circle is O, angle TQR = 46 degrees and angle QTO = 51 degrees.
Find the measure of angle RPO.
Link to graph: https://ibb.co/bmnmVgb
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-> SOLUTION: The center of the circle is O, angle TQR = 46 degrees and angle QTO = 51 degrees.
Find the measure of angle RPO.
Link to graph: https://ibb.co/bmnmVgb
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Question 1209480: The center of the circle is O, angle TQR = 46 degrees and angle QTO = 51 degrees.
Find the measure of angle RPO.
Link to graph: https://ibb.co/bmnmVgb Answer by greenestamps(13200) (Show Source):
The measure of angle TQR is given as 46 degrees, so the measure of angle TQP is 180-46 = 134 degrees.
That means the measure of major arc PT is 2*134 = 268 degrees.
That in turn means the measure of minor arc PT is 360-368 = 92 degrees.
And since central angle POT cuts off minor arc PT, the measure of angle POT is 92 degrees.
The measure of angle QTO was given as 51 degrees.
Now we have the measures of three of the four angles in quadrilateral POTQ, so the measure of angle RPO (= measure of angle QPO) is 360-(134+51+92) = 83 degrees.
