find the values of x and y

Answer:
x = 68°, y=14
Step-by-step explanation:
∵ m║n
∴ m∠x = 180 - m∠112
m∠x = 68°
∵ ∠x and ∠(5y - 2) are vertically oppose
∴ m∠(5y - 2) = m∠x
m∠(5y - 2) = 68
Make equation
5y - 2 = 68
5y = 68 + 2
5y = 70
y = 70/5
y = 14
Hope this helps
Step-by-step explanation:
• The supplement of the angle with the measure of 112° is :
[tex]\bf x + 112 = 180 \\ \bf x = 180 - 112 \\ \bf \boxed{ \color{#FF0000}x = 68 }[/tex]
This angle of 68° and the angle sign x° are in angular positions.
Internal alternators
The lines m and n are parallel, these angles have the same measure.
The marking of the angle x and the marking of the angle (5y-2)° are opposite to the vertex.
They have the same measure:
[tex]\bf 5y - 2 = 68 \\ \bf 5y = 68 + 2 \\ \bf 5y = 70 \\ \bf y = 70 \div 5 \\ \bf \boxed{ \color{#FF0000}y = 14 }[/tex]