We appreciate your visit to If m angle F B A equals 7 x plus 6 y what is m angle F B A Select one A 40 B 44. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer:
47
Step-by-step explanation:
Thanks for taking the time to read If m angle F B A equals 7 x plus 6 y what is m angle F B A Select one A 40 B 44. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
Rewritten by : Barada
===========================================================
Explanation:
We need to find the values of x and y first
------------------
Let's find x.
Segment IG is the same length as segment GH, as shown by the tickmarks
IG = GH
3x = 5x-10
3x-5x = -10
-2x = -10
x = -10/(-2)
x = 5
-----------------
Now onto finding y.
Ray BD is the bisector of angle ABC. The angle ABC is cut into two equal halves which are angle ABD and angle DBC
angle ABD = angle DBC
10y = 8y+4
10y-8y = 4
2y = 4
y = 4/2
y = 2
----------------
We have enough info to find angle FBA
angle FBA = 7x+6y
angle FBA = 7*5+6*2
angle FBA = 35+12
angle FBA = 47 degrees
