If a pair of vertical angles measure 5x-55 and 3x-25, find the angles.

I have no idea why I am having such a difficult time with this...Thanks in advance.

Question

If a pair of vertical angles measure 5x-55 and 3x-25, find the angles.

I have no idea why I am having such a difficult time with this...Thanks in advance.

nikato · Answer

WELCOME!
And your equation would be 5x-55=3x-25

Because there's a theorem that states that vertical angles are congruent

anonymous · Answer

@shanef all you need to do is equate both measures (by virtue of Vertical Angle Theorem). 

5x-55=3x-25
5x-3x=-25+55
2x=30
x=15 

5(15) - 55 = 20
3(15) - 25 = 20

anonymous · Answer

I feel so stupid.  I kept finding "X" correctly, but failed to incorporate "X" into the original equation to find the answer they were actually looking for.  Thank you so much.  I really appreciate it.

anonymous · Answer

Pleasure is all mine