Question

Can you solve this ? We need yo find the x and the two angles This is geometry It’s question number ( 16 )

Answer 1

Angles 1 and 2 form vertical angles. Vertical angles occur when two straight lines intersect, we get:

The vertical angles theorem tells us that:

`\begin{gathered} a=b \\ c=d \end{gathered}`

If angles 1 and 2 form vertical angles, then:

`\angle1=\angle2`

Since:

`\begin{gathered} \angle1=16x-9 \\ \angle2=4x-3 \end{gathered}`

Then:

`16x-9=4x+3`

Now, we can solve for x:

`\begin{gathered} 16x-4x=3+9 \\ . \\ 12x=12 \\ . \\ x=(12)/(12)=1 \end{gathered}`

We can find the values of the angles:

`\begin{gathered} \angle1=16\cdot1-9=7 \\ \angle2=4\cdot1+3=7 \end{gathered}`

Thus, the answer is:

Where:

`\angle1=\angle2=7º`

The value of the variable is x = 1