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

Question

asked Sep 3, 2023 81.4k views

1 Answer

Jerin Joseph · Answer 1 · 2023-09-09T23:47:47+0000

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:

And solve for x:

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

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