Answer: The measure of angle HBC is m∠HBC=61°
Step-by-step explanation:
In this problem we have thatThe line BH bisects angle EBC, see the attached figure to better understand the problemthen m∠EBC=m∠EBH+m∠HBCm∠EBH=m∠HBCsom∠EBC=2(m∠EBH)substitute the given values and solve for aFind the measure of angle EBHm∠EBH=(4(4)+45)=61°Remember thatm∠EBH=m∠HBCthereforeThe measure of angle HBC is m∠HBC=61°