Question

Find X and Y in the following figures

Answer 1

Answer:

Step-by-step explanation:

(i) In a parallelogram diagonals bisect each other

so 3x-1=2(x+1)

3x-1=2x+2

3x-2x=2+1

x=3

also 5y+1=6y-1

5y-6y=-1-1

-y=-2

y=2

(ii) let the point of intersection of diagnols be O

In triangle SOR

∠SOR=90 {diagnols of a rhombus are perpendicular bisectors of each other}

x+40+90=180  {∠ sum property of a Δ}

x+130=180

x=180-130

x=50

∠SOR=∠POQ=40 {alterate interior angles}