[justify][size=150][color=#4c1130]Let's put on our explorer hats! Take point B for a spin around the circle and keep a keen eye on angle B.[br][/color][/size][/justify][list=1][*][color=#4c1130]What fascinating connections do you notice between angle B and the central angle?[/color][/*][*][color=#4c1130]What's the sum of the angles on the arc [b]e[/b] and its alternate arc [b]d[/b], determined by points C and D?[/color][/*][/list][size=150][color=#4c1130]Let's piece together the puzzle of angles in this interactive adventure![/color][/size]

[size=150][justify][color=#4c1130]Let's sum up our discoveries! As we've journeyed through the above activity, we've unveiled a fascinating rule: [/color][i][color=#85200c]the angle formed by any arc on the alternate arc is always half of the angle formed at the center.[/color][/i][color=#4c1130] Not just that – all angles made by an arc on the alternate arc are equal! [br][br]We also discovered that that the sum of the angles on the arc [/color][b]e[/b][color=#4c1130] and its alternate arc [/color][b]d[/b][color=#4c1130], determined by points C and D is 180°. So, to wrap it up: [/color][i][color=#85200c]angles on the alternate arc are equal, and[/color][/i][color=#4c1130] [/color][i][color=#85200c]pairs on an arc and its alternate are always supplementary[/color][/i][color=#4c1130] (Pairs of angles of sum 180° are usually called supplementary angles). Now, share your thoughts on this geometric revelation![/color][/justify][/size]