Question

Find the value of x that makes A }}B <2=2x+10 and <4=4x+80

Answer 1

Given

$\angle2=2x+10,\angle4=4x+80$

Find

The value of x

Explanation

angle 2 and angle 4 are the interior angles on the same side of transversal. So these are supplementary angles

$\begin{gathered} \angle2+\angle4=180\degree \\ 2x+10+4x+80=180\degree \\ 6x+90=180\degree \\ 6x=90 \\ x=\frac{90}{6} \\ x=15 \end{gathered}$

Final Answer

Therefore , the value of x is 15