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in the figure below, ( mangle mkj = 128^{circ} ). (a) write an equation…

Question

in the figure below, ( mangle mkj = 128^{circ} ).
(a) write an equation to find ( x ). make sure you use an \=\ sign in your answer.
equation:
(b) solve for ( x ).
( x = )

Explanation:

Step1: Use the angle - addition property

The sum of the angles \(48^{\circ}\) and \((5x)^{\circ}\) is equal to \(m\angle MKJ = 128^{\circ}\). So the equation is \(48 + 5x=128\).

Step2: Solve the equation for \(x\)

Subtract \(48\) from both sides of the equation:
\(5x=128 - 48\)
\(5x = 80\)
Divide both sides by \(5\):
\(x=\frac{80}{5}\)

Answer:

(a) Equation: \(48 + 5x=128\)
(b) \(x = 16\)