Answer:
Part 1) The value of x is 21
Part 2 The value of y is 8
Step-by-step explanation:
step 1
Find the value of x
we know that
[tex](10x-61)\°+(x+10)\°=180\°[/tex] ------> by supplementary angles (linear pair)
[tex]11x-51=180[/tex]
[tex]11x=180+51[/tex]
[tex]11x=231[/tex]
[tex]x=21[/tex]
step 2
Find the value of y
we know that
[tex](10x-61)\°=(18y+5)\°[/tex] ----> by vertical angles
substitute the value of x and solve for y
[tex](10(21)-61)\°=(18y+5)\°[/tex]
[tex](149)\°=(18y+5)\°[/tex]
[tex]18y=149-5[/tex]
[tex]18y=144[/tex]
[tex]y=8[/tex]
