Answer:
70°
Explanation:
Properties of a kite are:
a) They have two congruent sides
b) Their diagonal is perpendicular to each other.
c) On a kite, we also have two angles that are opposite and congruent to each other. These angles are the same
We would be using the property of a kite that says "On a kite, we also have two angles that are opposite and congruent to each other. These angles are the same" to solved this question.
In the diagram , the angles Z and X are opposite and congruent to one another. This means they are equal to each other.
Since angles Z= angle X
Let us call both of them angle a
Since a Kite is a Quadrilateral shape, the sum of angles in a Quadrilateral = 180°
Angle W = 90°
Angle Y = 130°
Angle X = a°
Angle Z = a°
Hence,
90° + 130° + a° + a° = 360°
220° + 2a° = 360°
2a° = 360° - 220°
2a° = 140°
a° = 140/2
a° = 70°
Therefore, from the calculation above, we can say that the measure of x = 70°