Question

If m angle F B A equals 7 x plus 6 y, what is m angle F B A?

Answer 1

Answer:  C. 47 degrees

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Explanation:

We need to find the values of x and y first

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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

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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

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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