Question

b) In Fig II, if the quadrilateral ABCD is a parallelogram, what is the value of x if A is 3y B is 2y-5 and C is 3x+3
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Answer 1

Answer:

x= 36 degree and y = 37

Step-by-step explanation:

In this figure

Angle B = angle D (opp side angles are equal)

so Angle D= 2y -5

sim, Angle A equal to Angle C

so

3y = 3x +3

y= x +1

y-x =1 eq -1

we know that all angle of llgm is 360

so

2(2y-5) + 3y +3x+3 = 360

4y- 10 +3y +3x +3 = 360

4y+3y +3x - 7 =360

7y +3x = 367  - eq 2

multiply eq 1 with 3

so 3y -3x =3

so by elimation method

7 y + 3x = 367

3y  - 3x  = 3

10 y = 370

y= 37 degree

Angle A = Angle c

so

3y = 3x+3

3(37)  - 3 = 3x

x= 36 degree

Answer 2

Answer:

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