Question

Can you solve this ? Solve the x And Solve angle 1 And Angle 2 Solve question number (20)

Answer 1

If two angles form a linear pair, this means that the sum of their measures is equal to 180º:

$\angle1+\angle2=180º$

Then:

$\begin{gathered} \angle1=7x+10 \\ \angle2=3x \end{gathered}$

We can substitute these values in the equation above:

$7x+10º+3x=180º$

And solve for x:

$\begin{gathered} 10x=180º-10º \\ . \\ 10x=170º \\ . \\ x=\frac{170º}{10}=17º \end{gathered}$

Now, we can find the measures of the angles:

$\begin{gathered} \angle1=7\cdot17º+10=119º \\ \angle2=3\cdot17=51º \end{gathered}$

Thus, the answer is:

Graph:

Where:

$\begin{gathered} \angle1=119º \\ \angle2=51º \end{gathered}$

The value of the variable is x = 17