Question

Line BF bisects ∠ABC, m∠ABF = 6x°, and m∠FBC = (2x + 60)°. Choose True or False for each statement.

A. m∠FBC = 45°
A True B False
B. m∠ABC = 180°
A True B False
C. ∠ABF is a right angle.
A True B False

Answer 1

A false

B true

C true

Explanation:

Bisect means that you will have equal part of angle, so mABF=mFBC, from that we have:

6x=2x+60

4x=60

x=15

So mABF=6*15=90 and mFBC=2*15+60=90, then mABC=90+90=180. This is ok becaus it is still mABF=mFBC=90.

Now you can conclude that A is false, and B and C are true.