Question

Considere the diagram below determine DHG

Answer 1

9514 1404 393

Answer:

  A) ∠DHG = 96°

  B) arc EF = 134°

Step-by-step explanation:

Part A:

As you have shown in your work, angle DHG is supplementary to given angle FHG:

  ∠DHG = 180° -∠FHG

  ∠DHG = 180° -84°

  ∠DHG = 96°

__

Part B:

  ∠DHG is half the sum of arcs EF and DG.

  96° = (1/2)(arc EF + 58°) . . . . . fill in known values

  192° -58° = arc EF . . . . . . . . . . multiply by 2, subtract 58°

  arc EF = 134°