Answer:
y = 10.5 cm
x = 80 degree
Explanation:
Our approach is find measures first and y is our missing measure.
To find y
PQRS : ABCD is in ratio the same as CD : RS
We need to work out CD : RS to find measures of AD : SP
To find ratio we look at side measures first
CD : RS = 12 : 9
12/9 = 1.333333
So that AD : SP = 14 : ?
14 / 1.333333 = 10.50000
AD : SP = 14 : 10.5
y = 10.5 cm
To find x
We are given opposite angles and know with quadrilaterals they both share same opposite diagonal length ratios and share same opposite angles.
Where two angles are always in pairs given 100 degree can be multiplied by 2 and use the equation.
360 - (100 x 2) / 2 = (360 - 200) / 2 = 160/2 = 80 degree
x = 80 degree