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)`

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)`