Question

solve for x: 9x + 184° 7x + 156°

Explanation:

Step1: Identify supplementary angles

The two angles \(9x + 184^\circ\) and \(7x + 156^\circ\) are supplementary (they form a linear pair), so their sum is \(180^\circ\).
\[
(9x + 184) + (7x + 156) = 180
\]

Step2: Combine like terms

Combine the \(x\)-terms and the constant terms:
\[
9x + 7x + 184 + 156 = 180 \\
16x + 340 = 180
\]

Step3: Solve for \(x\)

Subtract 340 from both sides:
\[
16x = 180 - 340 \\
16x = -160
\]
Divide both sides by 16:
\[
x = \frac{-160}{16} \\
x = -10
\]

Answer:

\(x = -10\)