thatwitchg1rl thatwitchg1rl
  • 24-05-2022
  • Mathematics
contestada

Find m/G.
D
F
cribed Angles and Polygons > Section Ex
70°
G
120⁰

Find mG D F cribed Angles and Polygons gt Section Ex 70 G 120 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 24-05-2022

Answer:

∠ G = 85°

Step-by-step explanation:

the inscribed angle DGF is half the measure of its intercepted arc DF

the sum of the arcs in a circle = 360° , then

DF + FG + GD = 360° , that is

DF + 70° + 120° = 360°

DF + 190° = 360° ( subtract 190° from both sides )

DF = 170° , then

∠ G = [tex]\frac{1}{2}[/tex] × 170° = 85°

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