since given it bisects EOF must be equal to FOG
y+30 = 3y-50
2y = 80
y = 40
Answer: the correct option is (C) 40.
**Step-by-step explanation: **As shown in the attached figure below, the line OF bisects the angle EOG, where
m ∠ EOF = y + 30 , m ∠ FOG = 3 y − 50.
We are to** find the value of y.**
Since OF is the bisector of the angle EOG, so it divides the angle EOG into two congruent angles.
Therefore, we get
m ∠ EOF = m ∠ FOG ⇒ y + 30 = 3 y − 50 ⇒ 3 y − y = 30 + 50 ⇒ 2 y = 80 ⇒ y = 2 80 ⇒ y = 40.
Thus, the value of y is 40.
Option (C) is CORRECT.
The value of y is found to be 40 by solving the equation formed by the bisected angles. The correct multiple-choice answer is (C) 40.
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[tex]a {}^{5} = 243 \\ a = {}^{5} \sqrt{243} \\ a = 3[/tex]