What is the measure of angle QZP

22 degrees

Step-by-step explanation:

so if we take this here we know for sure that DZP is equal to 90 degrees

so DZP is split by QZD and QZP

so we take the 90 degrees we know for sure and then we take the two angle measurements we know

and we make this equation

9x + 5 + 3x + 1 = 90

and then we simplify this and it leaves us with

12x + 6 = 90

12x = 84

x = 7

so now that we have what x equals we plug that into QZP in order to find the actual measurement of this angle

3x + 1

3 (7) + 1

21 + 1

leaving us with our answer 22 degrees

and if you want to double check this answer just do the same thing we just did with QZD and plug in x into the equation and then add our answer 22 and the other answer you get for QZD and if that adds up to 90 then that is correct!

hope this helps!

each side has a different length.  

step-by-step explanation: