Question

Solve for x. Show work.

The teacher told us that the answer is 8 but I’m not sure what steps I need to take to show my work

Answer 1

x= 8

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