Subcategories

• Module 2 Day 10 Challenge Part 1

  Inscribed Arcs

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• Module 2 Day 10 Challenge Part 2

  Secant-Tangent Inscribed Angles, Alternate Solution

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  Hi TSS Graviser,

  First of all, thank you so much for pointing out the error in the images! We will fix it as soon as possible. As a note, although the images are different, you should still be able to solve the problem, since the angle of arc AB is given.

  For your second question "What if the chord is directly across the circle?", I'm assuming you mean if the chord goes across the circle through its diameter; please correct me if I misunderstood. If the chord passes through the diameter, the angle between the tangent and the chord would be 90°, because the tangent is perpendicular to the radius that touches it.

  For your last question, you can refer to the Module 2 Week 2 Day 6 Your Turn Explanation video starting around 5:38, where Prof. Loh explains the \( \frac{a+b}{2} \) formula.

  I hope this helps!

  Happy Learning,
  The Daily Challenge Team

• Module 2 Day 10 Your Turn Part 1

  Tangent-Tangent Inscribed Angles

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  Why, for the angle we found to be 140 degrees, is its arc also 140 degrees? Shouldn't it be twice as large, 280 degrees?

• Module 2 Day 10 Your Turn Part 2

  Solution Using Variables

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  Well, it is kind of related. If we take the general example, calling the 40 degree angle x, then the answer is (180 + x)/2, or 110.