Answer:
he measure of angle LFGH, mLFGH, is 159°.
Explanation:
To find mLFGH, we can use the Angle Addition Postulate, which states that the measure of an angle formed by two adjacent angles is the sum of their measures.
Given that m/FGB = 105° and m/BGH = 54°, we want to find mLFGH.
Since FGB and BGH are adjacent angles at point B, we can use the Angle Addition Postulate to find the measure of angle LFGH:
mLFGH = m/FGB + m/BGH
= 105° + 54°
= 159°
Therefore, the measure of angle LFGH, mLFGH, is 159°.