Final answer:
To find the measure of the smaller angle, compare the two given angles and set up an inequality to solve for the range of values that make the smaller angle less than the larger angle.
Step-by-step explanation:
To find the measure of the smaller angle, we need to compare the two given angles. The smaller angle is the one with the smaller measure.
We have the measures of the two angles as (2y+25)° and (4y-22)°. To determine which angle is smaller, we need to set up an inequality:
(2y+25)° < (4y-22)°
Solve the inequality to find the range of values for y that make the smaller angle less than the larger angle. Then substitute these values back into the expression for the smaller angle to find its measure.