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    Why doesn't P just open up to the 80 degree angle as an inscribed angle? Would've made things a lot quicker, also doesn't it make sense?

    Module 2 Day 6 Your Turn Part 1
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    • The Blade DancerT
      The Blade Dancer M0★ M1★ M2★ M3★ M4 M5
      last edited by debbie

      Why doesn't P just open up to the 80 degree angle as an inscribed angle? Would've made things a lot quicker, also doesn't it make sense?

      The Blade Dancer
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      • debbieD
        debbie ADMIN M0★ M1 M5 @The Blade Dancer
        last edited by

        @The-Blade-Dancer You are right, using the Inscribed Angle Theorem would work a lot faster. 🙂 That theorem tells us that we can take the difference of the two arcs that are inscribed by angle \(P,\) and divide that by \(2\) to get the measure of \(\angle P.\)

         

        Screenshot from 2020-11-12 17-15-19.png

        $$ \angle P = \frac{80^{\circ} - 30^{\circ}}{2} = \frac{50^{\circ}}{2} = \boxed{25^{\circ}} $$

        You've finished the course already and are just reviewing, and so this theorem, which is proved in Day 10, isn't something that the kids know about when they're doing the Day 6 lesson. Maybe that's why Prof. Loh tried to use other methods to solve it! 🙂 That's my guess, but I also know that Prof. Loh likes to use different solution methods to check his work, also. 🙂

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