Answer:
m ∠ GHJ = 60°
Step-by-step explanation:
Given:
m∠ GFJ = 120°
F is a center of a Circle
FG = FH = FJ = Radii of Same Circle
To Find:
m ∠ GHJ = ?
Solution:
Angle inscribed theorem:
The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle i.e 2θ that subtends the same arc on the circle.
m∠ GFJ = center angle = 120°
m ∠ GHJ = Inscribed angle = ?
∴ [tex]m\angle GHJ = \frac{1}{2}\times m\angle GFJ[/tex]
∴ [tex]m\angle GHJ = \frac{1}{2}\times 120[/tex]
∴ [tex]m\angle GHJ = \frac{120}{2}[/tex]
∴ ∠ GHJ = 60° Final Answer.
