Question

<17 and <18 are vertical angles. m <17=(5x+3)(degrees) and m<18=(3x+23)(degrees) find the measure of <18

a. 13 degrees
b. 44.3 degrees
c. 53 degrees
d. 33 degrees.

Answer 1

By definition, two angles who are vertical, their measure must be equal, so therefore:
\[m<17=m<18\]
But, their measure are represented by first degree equality, so therefore:
\[5x + 3=3x +23\]
All you have to do is solve that equation.