what is the value of $x$?\n$x = \\square^{\\circ}$
what is the value of $x$?\n$x = \\square^{\\circ}$
Answer
Explanation:
Step1: Identify the inscribed angles
The angles $\angle EDF$ and $\angle EGF$ are inscribed angles subtended by the same arc $EF$.
Step2: Apply the Inscribed Angle Theorem
Inscribed angles subtended by the same arc are equal in measure. $$m\angle EGF = m\angle EDF$$
Step3: Set up the equation
Substitute the given expressions for the angles into the equality. $$x + 19 = 49$$
Step4: Solve for x
Subtract 19 from both sides of the equation. $$x = 49 - 19$$ $$x = 30$$
Answer:
30