Question

61)
If one of the two vertical angles has a measure of 3x and the other has a measure of 5x-80, find the measure of each?

a) 20 degrees
b) 40 degrees
c) 60 degrees
d) 120 degrees

Answer 1

Note that vertical angles are always equal, so an equation can be formed.

Answer 2

\(\Large \color{purple}{\rightarrow 3x = 5x - 80 }\)

\(\Large \color{purple}{\rightarrow -2x = -80 }\)

\(\Large \color{purple}{\rightarrow 2x = 80 }\)

\(\Large \color{purple}{\rightarrow x = 40 }\)

Answer 3

Answer is B.40

Answer 4

a and b are vertical angles.