Question

In the rhombus, m angle 1 = 18x, m angle 2 = x+y and m angle 3 = 30z. Find the value of x+y+z. The diagram is not drawn to scale.

Answer 1

The value of x+y+z = 93

Explanation:

angle 1 = 18x

angle 2 = x+y

angle 3 = 30z

In rhombus, the diagonals intersect at 90°

Therefore,

angle 1 : 18x = 90

                  x = 90/18 = 5

angle 2: x+y = 90

              5+y = 90

                  y = 85

angle 3: 30z = 90

                   z = 90/30 = 3

Value of x+y+z = 5+85+3 = 93

Thus, the value of x+y+z = 93