Question

1. find m ∠ fcd

type a response
m||n

Explanation:

Step1: Use property of corresponding angles

Since $m\parallel n$, $\angle FCD$ and $\angle CFG$ are corresponding - angles, so they are equal. Also, $\angle CFG$ and $6x + 7$ are vertical - angles, and $\angle CFG=6x + 7$. And $\angle CFG$ and $9x-11$ are alternate - interior angles, so $6x + 7=9x-11$.

Step2: Solve the equation for x

First, move the x - terms to one side: $11 + 7=9x-6x$. Then, $18 = 3x$. Divide both sides by 3: $x=\frac{18}{3}=6$.

Step3: Find the measure of $\angle FCD$

Substitute $x = 6$ into the expression for $\angle FCD$ (which is equal to $6x + 7$). So, $\angle FCD=6\times6 + 7=36+7 = 43$.

Answer:

$43$