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!
