Question

12 numeric 1 point
on a separate piece of paper, solve the following for x:
answer

Explanation:

Step1: Identify angle relationship

The two angles are supplementary (form a straight line), so their sum is \(180^\circ\). Thus, \((5x + 3)+(2x + 16)=180\).

Step2: Combine like terms

Combine the \(x\)-terms and constant terms: \(5x + 2x+3 + 16 = 180\), which simplifies to \(7x + 19 = 180\).

Step3: Subtract 19 from both sides

Subtract 19: \(7x=180 - 19\), so \(7x = 161\).

Step4: Divide by 7

Divide both sides by 7: \(x=\frac{161}{7}\).

Step5: Simplify the division

\(\frac{161}{7}=23\).

Answer:

23