According to the figure,
PT = y
TR = 3x + 1
QT = 3y
TS = 7x + 9
Sum of all the angles in a parallelogram is 360 degrees
Sum of all the angles in a triangle is 180
PT + QT = 180
y + 3y = 180
4y = 180
Divide both sides by 4
4y/4 = 180/4
y = 180/4
y = 45
To find the value of x
TR + TS = 180
3x + 1 + 7x + 9 = 180
Collect the like terms
3x + 7x + 9 + 1 = 180
10x + 10 = 180
10x = 180 -10
10x = 170
Divide both sides by 10
10x/10 = 170/10
x = 17
Therefore, x = 17 and y = 45
