Question

What is the value of X

Answer 1

Answer: It is 250

Step-by-step explanation: you would add 40 and 70 together which is 110 and then you would subtract 360 from 110 and you answer would be 250.

Answer 2

x = 125

Explanation:

Kindly check the image below

The problem we are looking at gives us the value of two intercepted arcs and wants us to find x ( which is an interior angle )

According to the image we can find an interior angle by adding the two intercepted arcs and then dividing the sum by 2

( Note that we are not given the direct intercepted arcs of x. We are given the intercepted arcs of x's supplementary angle )

That being said we need to find x's supplement in order to find x

Using the image below as a reference

x's supplement =
`(70+40)/(2)`

`70 + 40 =110\\(110)/(2) =55`

So x's supplement = 55

Now to find x

Remember that supplementary angles have a sum of 180°

That being said we can find the missing angle (x) by subtracting the given angle (55) from 180

so x = 180 - 55

180 - 55 = 125

Hence x = 125