Answer: To find the measure of angle ZQPS, we need to use the given information about angles 1 and 2.
Angle 1 (mZ1) is given as 34°, and angle 2 (m2) is given as 28°.
In the figure, we can see that angle ZQPS is formed by the intersection of angles 1 and 2.
Angle ZQPS is an exterior angle of triangle QPS, which means it is equal to the sum of the two remote interior angles (angles 1 and 2).
Step-by-step explanation: So, to find the measure of angle ZQPS, we add the measures of angles 1 and 2 together:
mZQPS = mZ1 + m2
mZQPS = 34° + 28°
mZQPS = 62°
Therefore, the measure of angle ZQPS is 62°.
