Question

Find the value of x and y in the parallelogram below.

Answer 1

x= 18 , y = 6

Explanation:

A parallelogram has two opposite sides equal and parallel hence;

y + 4 = 10

y = 10 -4 = 6

Similarly

54 = 3x( opposite angle of a parallelogram are the same because it's congruent)

3x = 54

x = 54/ 3 = 18°

To be congruent means to have the same shape, size and form but can be flipped.

Answer 2

x = 18°

y = 6

Explanation:

in a parallelogram:

Any two opposite sides are congruent

and any two opposites angles are congruent:

then

y + 4 = 10

and 3x = 54

then

y = 6

and x = 54/3 = 18