Let's analyze the given quadrilateral so that we can find the measure of ∠GEH.
By the definition of a rectangle, we know that EFGH has four right angles. Therefore, the measure of ∠FEH is 90.
m ∠FEH = 90
By using the Angle Addition Postulate, we can express m ∠FEH as the sum of m ∠FEG and m ∠GEH.
m ∠FEG + m ∠GEH = m ∠FEH
⇓
m ∠FEG + m ∠GEH = 90
We are given that m ∠FEG=57. We will substitute this value into our equation.
57 + m ∠GEH = 90
Let's solve it!
