Question

look at the diagram.
which equation can be used to solve for x?
22x + 36 = 128 22x - 36 = 128 5x + 53 = 128 5x - 19 = 128
solve for x.
x =

Explanation:

Step1: Find the equation

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles.
Here, \(128^{\circ}=(5x + 17)^{\circ}+36^{\circ}\).
Simplify the right - hand side: \((5x + 17)+36=5x+(17 + 36)=5x+53\).
So the equation is \(5x + 53=128\).

Step2: Solve the equation for \(x\)

Subtract \(53\) from both sides of the equation \(5x+53 = 128\).
\(5x+53-53=128 - 53\).
\(5x=75\).
Divide both sides by \(5\): \(x=\frac{75}{5}\).

Answer:

\(x = 15\)