WBBSE Solutions For Class 10 Maths Chapter 7 Theorems Related To Angles In A Circle Exercise 7.1
Question 1. In the adjoining figure, ∠AMB, formed by the circular arc ÁPB, is 
the angle, and ∠ANB, formed by the circular arc is the front angle of the circle.
Solution: In the adjoining figure, ∠AMB formed by the circular arc APB is a cyclic angle and ∠ANB formed by circular arc AQB is the front angle of the circle.
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Question 2. ∠SLT in the adjoining figure at point L by the chordis front angle. Again, since the point L lies on the circle, so angle formed by the chord ST is a front angle in the segment. Again, ∠SLT is formed by the circular arc is front angle of the circle. The four angles in the segment of a circle with center O in the adjoining figure are,, and
Solution: ∠SLT in the adjoining figure at the point L by the chord ST is the front angle.
Again, since point, L lies on the circle, so angle SLT formed by the chord ST is a front angle in the segment.
————–(1)
Again, ∠SLT formed by the circular arc SNT is a front angle of the circle. The four angles in the segment of a circle with centre O in the adjoining figure are
∠ADB, ∠AEB, ∠ACB and ∠ASB.
—————–(2)
We see in no. (1), (2) circles the angle at the center formed by the arc AQB is ZAOB and an angle in the segment is ZAPB. But in no. (3) circle, the angle at the center formed by the arc ASB is ZAOB and the angle in the segment formed by the arc ASQ is ZAPQ.
