Answer:
x = 125
Step-by-step 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 = [tex]\frac{70+40}{2}[/tex]
[tex]70 + 40 =110\\\frac{110}{2} =55[/tex]
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
