Let's analyze the given rectangle so that we can find m∠EFD.
By the definition of a rectangle, we know that DEFG has four right angles. Therefore, the measure of m ∠EFG is 90.
m ∠EFG= 90
With the Angle Addition Postulate we can express m ∠EFG as a sum of m ∠EFD and m ∠DFG.
m ∠EFD + m ∠DFG = m ∠EFG
⇕
m ∠EFD + m ∠DFG = 90
We are given that m ∠EFD= 2x-3 and m ∠DFG= x+12, and we have been asked to find the measure of ∠EFD. We will first substitute these expressions into our equation for m∠EFG to find the value of x. Then we can substitute the value of x into the equation of m∠EFD to find its measure.
2x-3 + x+12 = 90
Let's solve it!
