Answer:
x = 42, y = 30
Step-by-step explanation:
From the given figure, we have to find the value of x and y.
The measurement of an angle on a straight angle is 180 degrees.
Using this concept, we have
\(3y+5+2x+1=180\\3y+2x=174....(1)\)
Now, we know that the sum of consecutive interiors angles is 80 degrees. Hence, we have
\(3y+5+85=180\\3y+90=180\\3y=90\\y=30\)
Plugging the value of y in equation (1)
\(3(30)+2x=174\\90+2x=174\\2x=84\\x=42\)
Hence, the values of x and y are
x = 42, y = 30
