Question

Angle M and N are vertical angles. Angle M has a measure of x + 20. Angle N has a measure of 99 degrees. What is the value of x

Answer 1

Answer:  $79^{\circ}$

Step-by-step explanation:

Given

$\angle M=x+20^{\circ}$

$\angle N=99^{\circ}$

$\angle M$ and $\angle N$ are vertical opposite angles

$\therefore \angle M=\angle N$

$\Rightarrow (x+20)^{\circ}=99^{\circ}\\\Rightarrow x=(99-20)^{\circ}\\\Rightarrow x=79^{\circ}$

Thus, the value of x is $79^{\circ}$