SOLUTION: On a circle whose center is O, mark points P and A so that minor arc PA is a 46-degree arc. What does this tell you about angle POA? Extend PO to meet the circle again at T. What i
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Question 1155151: On a circle whose center is O, mark points P and A so that minor arc PA is a 46-degree arc. What does this tell you about angle POA? Extend PO to meet the circle again at T. What is the size of angle P T A? This angle is inscribed in the circle, because all three points are on the circle. The arc PA is intercepted by the angle P T A.
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minor arc PA is a 46-degree , Therefore
The measure of a central angle is equal to the measure of its intercepted arc.
An inscribed angle in a circle is formed by two chords that have a common end point on the circle. This common end point is the vertex of the angle.
Inscribed angle = 1/2 central angle
=23 degrees