Let's assume the measure of angle ZQ is x degrees.
According to the given information, the measure of angle ZR is 26° more than angle ZQ, so it would be (x + 26) degrees.
Since ZQ and ZR are complementary angles, their measures add up to 90 degrees.
Therefore, we can set up the equation:
x + (x + 26) = 90
Combining like terms, we have:
2x + 26 = 90
Subtracting 26 from both sides:
2x = 90 - 26
2x = 64
Dividing both sides by 2:
x = 64/2
x = 32
So the measure of angle ZQ is 32 degrees, and the measure of angle ZR is (32 + 26) = 58 degrees.