Find the values of the variables x, y, and z in the parallelogram. The diagram is not drawn to scale.

x = 33° , y = 38° , z = 109°

Step-by-step explanation:

x = 33 (alternate angles)

Total angle in a triangle = 180

33 + 109 + y = 180

142 + y = 180

y = 180 - 142

y = 38

z = 109 (opposite angles in a parallelogram are equal)

answer:      

step-by-step explanation:

step by step resolutions

1) n+n+1+n+2=51

3n+3=51

3n=48

n=16

the three numbers are 16, 17 and 18.

2) x+15=4x

3x=15

x=5

radha is now 5 years old

3) the two digits are x and y.

y=3x

(10x+y)+(10y+x)=88

y=3x

11x+11y=88

y=3x

x+y=8

x+3x=8

x=2

the original number can be either 28 or 82.

4) n+(n+2)+(n+4)=48

3n+6=48

3n=42

n=14

the numbers are 14, 16 and 18.

5) y=x+3

10y+x+10x+y=143

y=x+3

11x+11y=143

y=x+3

x+y=13

x+x+3=13

2x=10

x=5

the original number can be 57 or 75.

hope this !