Question

1. 6x + 13° 14x - 33° x = ____ complementary supplementary 20. 37°

Explanation:

Step1: Identify angle - relationship

The two angles \(6x + 13^{\circ}\) and \(14x-33^{\circ}\) are supplementary, so their sum is \(180^{\circ}\).
\((6x + 13)+(14x-33)=180\)

Step2: Combine like - terms

\(6x+14x+13 - 33=180\)
\(20x-20 = 180\)

Step3: Add 20 to both sides

\(20x-20 + 20=180 + 20\)
\(20x=200\)

Step4: Solve for x

\(x=\frac{200}{20}=10\)

Answer:

\(10\)