Answer:
w = 28°
Step-by-step explanation:
• The opposite angles of a rhombus are congruent.
• The diagonals bisect the angles.
• All sides are congruent by definition.
Thus in the lower triangle w and y are congruent ( isosceles triangle ), thus
w = [tex]\frac{180-124}{2}[/tex] = [tex]\frac{56}{2}[/tex] = 28
That is w = 28°
The value of angle w in the given rhombus is equal to 28° if one angle is 124 degrees.
It is a 2 dimensional figure whose all sides are equal and whose diagonals bisect each other at 90 degrees.
We know that the opposite angles of a rhombus are congruent and the diagonals bisect the angles, and by the definition above all sides are equal. Thus w and y angles will be congruent as both triangles are isosceles triangles. thus the value of w=180-124/2=56/2
=28 degrees.
Hence the value of angle w in the given rhombus will be equal to 28°
Learn more about rhombus at https://brainly.com/question/20627264
#SPJ2