i need help with this

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
In the given figure, Angle y is equal to Angle adjacent to 52° and 90° by Vertical opposite angle pair
And since they for straight line, their Angle sum will be equal to 180°
that is :
[tex]\qquad \tt \dashrightarrow \:y + 52 + 90 = 180[/tex]
[tex]\qquad \tt \dashrightarrow \:y + 142 = 180[/tex]
[tex]\qquad \tt \dashrightarrow \:y = 180 - 142[/tex]
[tex]\qquad \tt \dashrightarrow \:y =38 \degree[/tex]
Answer:
y = 38°
Step-by-step explanation:
We know that the angles in a straight line are added up to 180°.
So,
90 + y + 52 = 180
142 + y = 180
y = 180 - 142
y = 38°