Question

what is the value of r?

Explanation:

Step1: Recall the sum of angles on a straight line

The sum of angles on a straight line is \(180^{\circ}\).

Step2: Set up the equation

Let the three angles be \(32^{\circ}\), \(59^{\circ}\), and \(r\). Then \(32 + 59+r=180\).

Step3: Simplify the left - hand side

\(32 + 59=91\), so the equation becomes \(91 + r=180\).

Step4: Solve for \(r\)

Subtract \(91\) from both sides: \(r=180 - 91\).

Answer:

\(89\)