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Question
What are angles in same segment? How can we identity them?
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Solution
Angles in the same segment are equal. Angles subtended (made) by the same arc at the circumference are equal.
(1): Draw a circle.
(2): Mark any 2 points A & B on the circle
(3) Join those 2 points
(4) You get a chord AB
(5): This AB chord divides the circle into 2 segments. Smaller one is minor segment. Larger one is major segment . If equal both will be semi circular segment.
(6): Now mark a point P , any where on the arc of any one segment, except on A or B.
(7): Join A & P. And join B& P.
(8) Similarly, mark point Q now, & join A & Q. And join B& Q.
(9) Similarly, you may mark any number of points, P,Q,R,S,T,……. on the arc of the segment.
(10) Angles, so formed like,<APB, < AQB, < ARB, <ASB, < ATB,…….. & so on.. are referred as angles in the same segment.
And all these angles in the same segment will be equal in measure.
(1): Draw a circle.
(2): Mark any 2 points A & B on the circle
(3) Join those 2 points
(4) You get a chord AB
(5): This AB chord divides the circle into 2 segments. Smaller one is minor segment. Larger one is major segment . If equal both will be semi circular segment.
(6): Now mark a point P , any where on the arc of any one segment, except on A or B.
(7): Join A & P. And join B& P.
(8) Similarly, mark point Q now, & join A & Q. And join B& Q.
(9) Similarly, you may mark any number of points, P,Q,R,S,T,……. on the arc of the segment.
(10) Angles, so formed like,<APB, < AQB, < ARB, <ASB, < ATB,…….. & so on.. are referred as angles in the same segment.
And all these angles in the same segment will be equal in measure.
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