Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

 bisects EOG. EOF = y + 30 and FOG = 3y – 50. Solve for y.
 20
70
40
50

Sagot :

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

[tex]m\angle EOF=y+30,\\\\m\angle FOG=3y-50.[/tex]

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

[tex]m\angle EOF=m\angle FOG\\\\\Rightarrow y+30=3y-50\\\\\Rightarrow 3y-y=30+50\\\\\Rightarrow 2y=80\\\\\Rightarrow y=\dfrac{80}{2}\\\\\Rightarrow y=40.[/tex]

Thus, the value of y is 40.

Option (C) is CORRECT.

View image ColinJacobus
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.