334,270 views
16 votes
16 votes
Solve for x. Then give the measure of both angles.

Solve for x. Then give the measure of both angles.-example-1
User Ian Warburton
by
2.5k points

1 Answer

12 votes
12 votes

The angles presented on question 2 are vertical angles, which means they are congruent, this means we have the following equation:


6x+19=7x-2

Solving for x:


\begin{gathered} 6x+19=7x-2 \\ 6x+21=7x \\ 21=x \end{gathered}

Making the substitution


7x-2=7*21-2=147-2=145

Both angles on question 2 measure 145º.

User Mikescher
by
3.4k points