Question

4 fill in the blank 1 point solve for x (hint: the sum of the two angles are equal to 180). (8x - 3)° (16x - 33)°

Explanation:

Step1: Set up the equation

According to the hint, the sum of the two angles \((8x - 3)^{\circ}\) and \((16x - 33)^{\circ}\) is \(180^{\circ}\). So the equation is \((8x - 3)+(16x - 33)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(8x+16x-3 - 33=180\), which simplifies to \(24x-36 = 180\).

Step3: Isolate the term with \(x\)

Add \(36\) to both sides of the equation: \(24x-36 + 36=180 + 36\), getting \(24x=216\).

Step4: Solve for \(x\)

Divide both sides by \(24\): \(x=\frac{216}{24}\).

Answer:

\(x = 9\)