Answer:
x= 8
Step-by-step explanation:
∠NWV +∠UVW= ∠NUV (ext. ∠ of △UWV)
70° +(3x +6)°= (11x +12)°
70° +6° -12°= (11x -3x)°
64°= (8x)°
8x= 64
x= 64 ÷8 (÷8 on both sides)
x= 8
Alternatively,
∠UVW+ ∠NWV +∠WUV= 180° (∠ sum of △UVW)
(3x +6)° +70° +∠WUV= 180°
∠WUV= 180° -(3x +6)° -70°
∠WUV= (104 -3x)°
∠WUV +∠NUV= 180° (adj. ∠s on a str. line)
(104 -3x)° +(11x +12)°= 180°
11x -3x +104 +12= 180
8x= 180 -116
8x= 64
x= 64 ÷8
x= 8
