Question

7. In Figure 3, ABCD is a parallelogram. Find the measure of x and y.

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Answer 1

Step-by-step explanation:

2x+35 = 3x+15

2x+35-3x=15

-x+35=15

-x=15-35

-x=-20

x=20°

3x+15+(2y+5)=180°

3(20)+20+2y=180°

2y=180-80

2y=100

y=100/2

y=50

hence, y=50° and x=20°

Answer 2

Step-by-step explanation:

angle DAB+ angle ABC =180 (parrel line )

so ,3x+15+2y+5=180

3x + 2y = 160

and

angle DAB = angle DCB

3x+15= 2x + 35

x= 20

now put the value

3(20)+2y=160

60+2y = 160

2y = 100

y= 50

so overall answer is 20 and 50