Without seeing the actual shape, which of the following could be the measure of an interior angle of a polygon used in a regular tessellation? Select all that apply. O 120° O 60° O 135° O 108° O 90°

2. Find the missing angles labelled in each of these circles. a. 31° b. Ý SOE BỘ 80+2 90-y 2x+4 C. 12cm Scmy

Let ABC be a triangle with AC = 2. Find AB and BC, given that ∠BAC =30 and ∠BCA = 45. Do not use the laws of sines or cosines. Hint: It helps to draw an altitude from B to AC.

In Billy Jay Joe Bob's family, the birthday person always gets to cut the first piece of cake. Billy Jay is celebrating his birthday with both of his parents, his three brothers, and his girlfriend. He cuts his slice of cake with an 96° central angle. (The cake has a 10-inch radius) If the rest of the party equally shares the remaining portion of the cake, what is the approximate area that each one receives? Hint: How many people will be sharing the rest of the cake represented by the SHADED sector. Let pi = 3.14 and round your final answer to the nearest tenth. 10inches 96

Alex drew a circle with right triangle PRQ inscribed in it, as shown below: The figure shows a circle with points P, Q, and R on it forming an inscribed triangle. Side PQ is a chord through the center an If the measure of arc QR is 80°, what is the measure of angle PQR?