Question

Find the value of x

Pls help!!

Answer 1

x = 8

Explanation:

By looking at the diagram, we can see that the angles 2 + 6x and 50 are vertical angles.

If two angles are vertical, then they're equal to each other. So once we know that A and B are vertical angles, we know that A equals B.

For this problem, A = 2 + 6x and B = 50. So we deduce that:

`\boldsymbol{2+6x=50}`

Now solve for x, because that's what we're asked to do.

`\boldsymbol{6x=50-2}\phantom{123456}\{\boldsymbol{Subtract\:2\:from\:both\:sides}\}`

`\boldsymbol{6x=48}\phantom{123456}\{\boldsymbol{Divide~each~side~by~6}\}`

`\boldsymbol{x=8\textdegree}\phantom{123456}\Longleftarrow\{\boldsymbol{Solution}\}`

Hence, x = 8.

`\rule{350}{2}`

Answer 2

Answer: x = 8°

Explanation:

The angles given are vertical angles.

Vertical angles are angles formed by a common vertex from the same lines. Since vertical angles have equal measures, if one angle has 50 degrees, the other angle would have the same measurement.

Therefore,

50° = (2 + 6x)°

Next you must isolate x. To isolate x first subtract 2 from both sides of the equation.

50° = (2 + 6x)°

-2° -2°

48° = 6x°

Then you should divide by 6 on both sides of the equation.

48° = 6x°

/6° /6°

x = 8°