Answer:
x = 24
y = 19
Step-by-step explanation:
[tex] \because l || m..... (given) \\
\therefore (2x +13)\degree + 47\degree +(3x)\degree = 180\degree \\(interior \:\angle 's\: on \: same \: side \: of \: ||\: lines) \\
\therefore (5x + 60)\degree = 180\degree \\
\therefore 5x + 60= 180\\
\therefore 5x = 180- 60\\
\therefore 5x =120\\\\
\therefore x =\frac{120}{5}\\\\
\huge \red {\boxed {\therefore x = 24}} \\\\
(5y-23)\degree =(3x) \degree \\(corresponding \: \angle 's) \\
5 y - 23 = 3\times 24\\
5 y = 72+23\\
5 y = 95\\\\
y = \frac{95}{5}\\\\
\huge \orange {\boxed {y = 19}} [/tex]
