Question

in the figure below, (mangle mkj = 123^{circ}). (a) write an equation to find (x). make sure you use an \=\ sign in your answer. equation: (b) solve for (x).

Explanation:

Step1: Use angle - addition property

We know that $\angle MKJ=\angle MKL+\angle LKJ$. Given $\angle MKJ = 123^{\circ}$, $\angle LKJ=63^{\circ}$ and $\angle MKL = 6x^{\circ}$. So the equation is $6x + 63=123$.

Step2: Solve the equation for $x$

Subtract 63 from both sides of the equation: $6x=123 - 63$.
$6x=60$.
Then divide both sides by 6: $x=\frac{60}{6}$.
$x = 10$.

Answer:

(a) Equation: $6x+63 = 123$
(b) $x = 10$