what is the value of r?

Explanation:

Step1: Identify angle - addition relationship

The larger angle is composed of two smaller adjacent angles. The measure of the larger angle $r$ is the sum of the measures of the two given angles.

Step2: Calculate the value of $r$

$r=27^{\circ}+59^{\circ}$ $r = 86^{\circ}$

Answer:

$86$