Question

Which value of X is the figure a rhombus?

x = 20.5
x = 2.6
x = 15.19
x = 7

Answer 1

x = 7

Explanation:

Answer 2

The value of x is 7 .

Explanation:

By using the property of rhombus .

The diagonals of the rhombus intersect each other at 90° .

Thus

Apply angle sum property of a triangle .

∠(8x + 7) °+ ∠(3x + 6)° +∠ 90 ° = ∠180 °

Open the bracket

8x + 7 + 3x + 6 + 90 = 180

11x + 13 = 180 - 90

11x + 13 = 90

11x = 90 - 13

11x = 77

`x = (77)/(11)`

x = 7

Therefore the value of x is 7 .