Question

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

Explanation:

Step1: Use the angle - addition property

The measure of the larger angle is the sum of the measures of the two smaller angles. So, \((5x + 17)+36=128\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(5x+(17 + 36)=128\), which gives \(5x+53 = 128\).

Step3: Solve for \(x\)

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

Answer:

\(x = 15\)