Using the properties of a kite, what is the measure of Angle X? 70° 90° 130° 140°

70°

Step-by-step 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°