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3 years ago

Considere the diagram below determine DHG

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

6 0

9514 1404 393

Answer:

A) ∠DHG = 96°

B) arc EF = 134°

Step-by-step explanation:

<u>Part A</u>:

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

∠DHG = 180° -∠FHG

∠DHG = 180° -84°

∠DHG = 96°

<u>Part B</u>:

∠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°

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