Answer:
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°
