Answer:
The question is given below as
Concept:
To solve the question above, we will use the linear pair theorem below
The Linear Pair Theorem states that two angles that form a linear pair are supplementary; that is, their measures add up to 180 degrees.
Step 1:
By applying the linear pair theorem, we will have that
[tex]\begin{gathered} 42^0+y+53^0=180^0 \\ 95^0+y=180^0 \\ collect\text{ similar terms, substract 95 from both sides} \\ 95^0-95^0+y=180^0-95 \\ y=85^0 \end{gathered}[/tex]
Hence,
The value of y = 85°
Step 2:
We will calculate the value pf x using the linear pair theorem also
[tex]\begin{gathered} x+90^0=180^0 \\ collect\text{ similar terms, subtract 90 from both sides} \\ x+90^0-90^0=180^0-90 \\ x=90^0 \end{gathered}[/tex]
Hence,
The value of x = 90°
