QRST is a kite therefore, the value of angle QRS in the kite is 137 degrees.
Properties of a kite
- One pair of opposite angles is equal.
- Diagonals are perpendicular to each other.
- The sum of angles in the kite is 360 degrees.
Therefore,
79 + 79 + 11x - 6 + 4x + 13 = 360
158 - 6 + 13 + 11x + 4x = 360
158 + 7 + 15x = 360
15x = 360 - 158 - 7
15x = 195
divide both sides by 15
x = 195 / 15
x = 13
Therefore,
∠QRS = 11(13) - 6 = 143 - 6 = 137 degrees.
learn more on kite here:https://brainly.com/question/3087585
#SPJ2
