Question

Find the value of x. 4 14 3 6

Answer 1

Hello from MrBillDoesMath!

Answer:

4

Discussion:

As vertical angles are equal,    Angle 3 = Angle 2,  so

Angle 3 = 3x + 2     (A)

Angles 3 and 7 are corresponding angles and hence equal. So

Angle 3 = Angle 7   =>  use (A) above and Angle 7 =  x + 10

3x + 2 = x + 10  =>   subtract x from both sides

3x -x + 2 = x - x + 10  =>

2x + 2 = 10                 => subtract 2 from both sides

2x = 10 -2 = 8

x = 8/2 = 4

which is the first choice

Thank you,

MrB

Answer 2

The answer is A.) 4..