Question

Please help find the value of x and show me steps so I can try to learn it!!

Answer 1

`x = 30`

Explanation:

If we take a look at the given picture, we can see that both sides are almost completely identical, so they must almost have the same value.

Let us do the plug in. Keep in mind that the angle is obtuse, meaning over 90 degrees, and angle identical or lower than 90 is incorrect.

`x=18`

`(x + 90)°`

`(18 + 90) = 108`

True.

`4x`

`4(18) = 72`

False. Meaning the 18 would not work.

x = 22.5

`(22.5 + 90) = 112.5`

True.

`4(22.5) = 90`

False. Meaning that 22.5 does not work.

x = 30

`(30+90) = 120`

True.

`4(30) = 120`

True. Meaning that 30 is the answer and can work.

x = 54

`(54+90) = 144`

True.

`4(54) = 216`

False. Although the angle is larger than 90, 180 is a straight line, and we can see that the angles given are not straight lines or greater.