Question

The figure below is a rhombus y = ?

Answer 1

y = 28°

Explanation:

The opposite angles of a rhombus are congruent.

The diagonal divides the rhombus into 2 isosceles triangles, as all sides are congruent.

Thus, 180-124=56. 56/2=28

Answer 2

y = 28°

Explanation:

The opposite angles of a rhombus are congruent.

The diagonal divides the rhombus into 2 isosceles triangles, as all sides are congruent.

Thus the triangle containing base angles y and w has vertex = 124°

Since the triangle is isosceles then the base angles are congruent , thus

y =
`(180-124)/(2)` =
`(56)/(2)` = 28°