Question

what is an angle that is supplementary to ∠fgb?

Explanation:

Step1: Define supplementary angles

Supplementary angles sum to 180°.

Step2: Identify ∠FGB's sides

∠FGB has sides GF and GB (vertex G).

Step3: Assume ray arrangement

Rays A,B,C,D,E,F around G (6 rays, 60° apart: 360°/6=60°).

Step4: Calculate ∠FGB measure

GF to GB: 2 intervals (F→A→B), so 2×60°=120°.

Step5: Find supplementary angle

180°-120°=60°, which is 1 interval. ∠BGC (GB→GC) is 60°.

Answer:

∠BGC