Question

solve for the value of r.
65°
(4r - 1)°
answer attempt 1 out of 2
r =

Explanation:

Step1: Set up the equation

Since the two angles are adjacent and form a linear pair (sum to \(180^{\circ}\)), we have \(65+(4r - 1)=180\).

Step2: Simplify the left - hand side

First, simplify \(65+(4r - 1)\) to \(4r+64\). So the equation becomes \(4r + 64=180\).

Step3: Solve for \(r\)

Subtract \(64\) from both sides: \(4r=180 - 64\), which gives \(4r = 116\). Then divide both sides by \(4\): \(r=\frac{116}{4}\).

Answer:

\(r = 29\)