Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

 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