Question

Find the values of x and y

x=42, y=26.3
x=47, y=30
x=42, y=30
x=47, y=26.3

Answer 1

2x +1= 85
2x=84
x=42

180-85=95

3y+5=95
3y=90
y=30

Answer 2

x = 42, y = 30

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