Question

cd and ab intersect at point e as shown where m∠cea=(6x + 3)°, m∠bed=(18x - 21)° and m∠aed=(4x + 79)°. what is the value of x?

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. $\angle CEA$ and $\angle BED$ are vertical angles. So, $6x + 3=18x-21$.

Step2: Solve the equation for $x$

First, move the $x$ - terms to one side: $18x-6x=3 + 21$.
Combining like - terms gives $12x=24$.
Then, divide both sides by 12: $x=\frac{24}{12}=2$.

Answer:

$2$