Question

I need 23 and 24. The directions for them are solve for x. And assume that lines which appear to be diameters are actual diameters.

Answer 1

Step-by-step explanation

Question 23

To get the value of x, let us get y as shown below

`\begin{gathered} y+100=180^0(linear\text{ pairs}) \\ y=180-100=80^0 \end{gathered}`

Next, we will make use of the fact tha y and (x+85 ) are vertical angles so that

`\begin{gathered} y=x+85\text{ \lparen linear pairs\rparen} \\ where\text{ y=80} \\ 80=x+85 \\ x=80-85=-5 \\ x=-5 \end{gathered}`

For question 23, x = -5

For question 24

The total angle in a circle is 360 degrees so that

`-38x+4+65+42+95+40=360`

solving for x

`\begin{gathered} -38x+246=360 \\ -38x=360-246 \\ -38x=114 \\ x=(114)/(-38) \\ x=-3 \end{gathered}`

For question 24, x =-3