If PQRS is a kite, find m angle Q

Q = 35

Step-by-step explanation:

1. You add both (m)x values and y values making them equal to 180 creating a 2 step-equation: (7x+2) + (10x-31) making that 17x-33= 180

2. Now you have a 2 step-equation to solve: 17x-33 = 180-33=147

                                                                                  +-33  +-33

                                                                              17x = 147/17=21

                                                                               /17     /17

3. From here with 21, knowing the kite must equal to 180, you add 21 to the other angle 124: 124+21=145

4. Seeing that you don't have a total of 180, you now subtract 145 from 180 in order to get the value of Q: 180-145= 35

Q= 35

Step-by-step explanation:

7x + 2 = 10x - 31

33 = 3x

x = 11

so, 7x + 2 = 7( 11 ) +2 = 79°

10x - 31 = 10( 11 ) - 31 = 79°

ΔP + ΔQ + ΔR + ΔS = 360°

79° + ΔQ + 79° + 124° = 360°

ΔQ + 282° = 360°

ΔQ = 360° - 282°

ΔQ = 78°