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!
