Question

Find the value of X that makes the drawing below true (drawing is not to scale)

“ x = ____”

*answer quick pls*

Answer 1

Given:

Given that the angles (12y + 5)° and (18y - 7)° are vertical angles.

Also, given the other angle is (3x + 1)°

We need to determine the value of x.

Value of y:

Since, the angles (12y + 5)° and (18y - 7)° are vertical angles, then they must be congruent.

Thus, we have;

`12y+5=18y-7`

`-6y+5=-7`

`-6y=-12`

`y=2`

Thus, the value of y is 2.

Value of x:

From the figure, it is obvious that the angles (18y - 7)° and (3x + 1)° are linear pairs.

Thus, we have;

`18y-7+3x+1=180`

Substituting y = 2, we get;

`36-7+3x+1=180`

`3x+30=180`

`3x=150`

`x=50`

Thus, the value of x is 50.