Let's analyze the given quadrilateral so that we can find the measure of ∠ FGE.
By the definition of a rectangle, we know that EFGH has four right angles. Therefore, the measure of ∠ HGF is 90.
m ∠ HGF = 90
By using the Angle Addition Postulate, we can express m ∠ HGF as the sum of m ∠ HGE and m ∠ FGE.
m ∠ HGE + m ∠ FGE = m ∠ HGF
⇓
m ∠ HGE + m ∠ FGE = 90
We are given that m ∠ HGE=13. We can substitute this value into our equation.
13 + m ∠ FGE = 90
Let's solve it!
