1.    ∠𝑀 and ∠𝑁 are inscribed angles that intercept the same arc. If   𝑚∠𝑀=

27𝑥    and 𝑚∠𝑁= 10𝑥 + 51, find x.

6. Ben divided the sliced “dalandan” into 5 different parts with different         measurements. Given that the sliced parts measure 115^o, 50^o, 45^o, 75^o,          respectively. What is the measure of the last slice?

7.    Which of the following statements is true?

8. ∠𝐴𝐵𝐶 is a central angle in ⊙ 𝐵intersecting 𝐴𝐶̂ .If the 𝑚∠𝐴𝐵𝐶= 5𝑥 − 20         and 𝑚𝐴𝐶̂ = 4𝑥+ 5, what is the degree measure of ∠𝐴𝐵𝐶?

9. Jericho wants to paste a garland 3 inches away from the center of a 10 circle.  If the radius of the circle is 5 inches, how long should the garland be?

10. Joy recreates her old, rounded wall clock into a picture frame. She placed a picture with dimension 10 x 8 inches on it. Given that the corner of the picture is on the edge of the circle, find the radius of the wall clock.