Question

solve for the value of r.
answer attempt 1 out of 4
r =

Explanation:

Step1: Use the property of adjacent angles

Adjacent angles on a straight line sum to \(180^{\circ}\). So, \(65+(4r - 1)=180\).

Step2: Simplify the equation

Simplify the left - hand side: \(65+4r-1=4r + 64\). The equation becomes \(4r+64 = 180\).

Step3: Solve for \(r\)

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

Answer:

\(r = 29\)