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:

$\begin{gathered} 16x-4x=3+9 \\ . \\ 12x=12 \\ . \\ x=\frac{12}{12}=1 \end{gathered}$

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