TO FIND X
We can use the Cosine Trig Ratio to evaluate the value of x given to be:
[tex]\cos\theta=\frac{adj}{hyp}[/tex]
From the triangle, we have the following parameters:
[tex]\begin{gathered} \theta=x \\ adj=PR=63 \\ hyp=NR=87 \end{gathered}[/tex]
Therefore, the angle can be calculated as follows:
[tex]\begin{gathered} \cos x=\frac{63}{87} \\ x=\arccos(\frac{63}{87}) \\ x=43.6\degree \end{gathered}[/tex]
To the nearest whole number, the value of x is 44 degrees.
TO FIND Y
The value of y can be calculated using the sum of angles in a triangle, give =n to 180 degrees.
Therefore, the missing angle can be calculated to be:
[tex]\begin{gathered} 90+x+y=180 \\ 90+44+y=180 \\ y=180-44-90 \\ y=46\degree \end{gathered}[/tex]
The value of y is 46 degrees.
