Circle Arcs
1. Problem 1: Find the measure of arc AN. Given angles inside circle R are 100°, 65°, and 30°. AE is a diameter.
Arc AN measure can be either 65° or 30°, depending on interpretation. These are given as possible answers for coloring ears.
2. Problem 2: Find the measure of arc AI.
Possible answers: 85° or 115°, used for hair drawing.
3. Problem 3: Find the measure of arc DAE.
Possible answers: 180° or 280°, for hat drawing.
4. Problem 4: Find measure of angle LERI.
Possible answers: 65° or 85°, for earrings.
5. Problem 5: Find measure of arc LNRE.
Possible answers: 150° or 130°, for mouth drawing.
6. Using figure 2, if mLT=65°, find mL1.
Possible answers: 25° or 32.5°, for eye shapes.
7. Using figure 2, if mAI=144°, find mL2.
Possible answers: 62° or 72°, for eyebrows.
8. Using figure 2, if mL3=15°, find mLT.
Possible answers: 30° or 7.5°, for nose.
9. Using figure 2, if mTA=44°, find mL6.
Possible answers: 11° or 22°, for necklace or whistle.
10. Using figure 2, if mLI=124°, find mL7.
Possible answers: 62° (vertical stripes) or 31° (horizontal stripes).
11. Using figure 2, if mL2=65°, find mL6.
Possible answers: 50° (football) or 25° (soccer ball).
12. Measure of arc IAT.
Possible answers: 90° (mud puddles) or 180° (tufts grass).
13. Figure 3, arc cut off by ⊥LB.
Possible answers: CD (green earrings) or DE (purple earrings).
14. Figure 3, arc cut off by ⊥BCE.
Possible answers: BE (brown ears) or DE (yellow ears).
15. Figure 3, arc cut off by ⊥EDB.
Possible answers: CD (yellow hair) or BE (red hair).
16. Figure 3, arc cut off by ⊥BCD.
Possible answers: BED (hat stripes black & white) or CED (black & blue).
17. Figure 3, arc cut off by ⊥CDB.
Possible answers: BE (mouth pink outline) or BC (mouth red outline).
18. Figure 3, arc cut off by ⊥CED.
Possible answers: BC (teeth brown) or CD (teeth black).
19. Figure 3, arc cut off by ⊥CDE.
Possible answers: CBE (nose brown) or BED (nose orange).
20. Figure 4, measure of ⊥LAK.
Possible answers: 130° (eyes green) or 90° (eyes blue).
21. Figure 4, measure of ⊥LAJ.
Possible answers: 138° (eyebrows orange) or 108° (eyebrows red).
22. Figure 4, measure of ⊥KAM.
Possible answers: 122° (face, neck, arms brown) or 132° (yellow).
23. Figure 4, measure of arc JK.
Possible answers: 38° (neck object orange) or 48° (purple).
24. Figure 4, measure of arc JH.
Possible answers: 32° (shirt stripes black & blue) or 42° (black & white).
25. Figure 5, measure of arc DFB.
Possible answers: Major arc (ball brown) or Semicircle (ball black & white).
26. Figure 5, arc DE measure.
Possible answers: Semicircle (goal post brown) or Minor arc (black).
27. Figure 5, arc EDB measure.
Possible answers: Major arc (background green) or Minor arc (brown).
Since only choices and coloring themes are provided without numeric computations or diagram specifics, we list given answer pairs for each question.