Given the figure below, find the values of x and z.
63°
(5x + 48)°

Answer:
x = 3°
z = 117°
Step-by-step explanation:
Linear pair: If the non-common arm of two adjacent angles form a line, then they are called linear pair and they add up to 180.
Vertically opposite angles are equal.
5x + 48 = 63
Subtract 48 from both sides,
5x = 63 - 48
5x = 15
Divide both sides by 5
x = 15÷ 5
[tex]\sf \boxed{\bf x = 3}[/tex]
z + 63 = 180 {Linear pair}
z = 180 - 63
[tex]\boxed{\bf z = 117}[/tex]