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°

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1