Ken uses pattern blocks to make a design he puts five pattern blocks together as shown in the diagram the measure of <OJK Is 120°. What is the measure of <PJN? Enter your answer in the box

1 answer

The measure of angle PJN is 60 degrees.

This is because in a regular pentagon (like the one made by the pattern blocks), each angle measures 108 degrees. Since angle OJK is 120 degrees, the remaining angle PJN can be found by subtracting 120 from 180 (the sum of angles in a triangle) and then dividing by 2, resulting in 60 degrees.