Explanation:
2.
(13y)° and (8x+y)° are supplementary angles on a straight line therefore:
13y+8x+y=180°
14y+8x=180°——equation 1
Again,
(13y)° and (20x+3y)° are corresponding angles therefore are equal so:
13y=20x+3y
13y-3y-20x=0
10y-20x=0——equation 2
Now we find the value of x and y using the system of equations
Thus,we solve :
14y+8x=180°
10y-20x=0
Solving them,x=5 and y=10
3.We use the same approach for this
3(x+y)° and 5x are corresponding angles and are equal therefore:
3x+3y=5x
3x-5x+3y=0
-2x+3y=0——equation 1
Again,(5x)° and (4x-9)° are supplementary angles on a straight line so:
5x+4x-9=180
9x-9=180°
9x=180+9
9x=189°
x=21
Plug in the value of x into equation 1 for y
-2x+3y=0
-2(21)+3y=0
-42+3y=0
3y=42
y=42/3=14
So x is 21 and y is 14