Question

answer attempt 1 out of 3 $x=$ submit answer

Explanation:

Step1: Set up the equation

Since the two angles \((3x + 29)^{\circ}\) and \((10x-5)^{\circ}\) are supplementary (they form a linear pair), their sum is \(180^{\circ}\).
So, \(3x+29 + 10x-5=180\).

Step2: Simplify the left - hand side

Combine like terms: \((3x + 10x)+(29 - 5)=180\), which gives \(13x+24 = 180\).

Step3: Solve for \(x\)

Subtract 24 from both sides: \(13x=180 - 24\), so \(13x=156\).
Divide both sides by 13: \(x=\frac{156}{13}\).

Answer:

\(x = 12\)