A quadrilateral is a polygon with 4 number of sides and 4 vertices. The measure of the ∠X is 104°.
What is a quadrilateral?
A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.
Given a scenic overlook which extends over a ravine is shaped like a kite. Since in a kite the measure of all the angles is 360°, also, the measure of the angle formed by the two non-equal sides is equal. Therefore, the measure of the two angles that will be equal is ∠X and ∠Z.
Further, the sum of the measure of all the angles can be written as,
∠X + ∠Y + ∠Z + ∠W = 360°
∠X + 40° + ∠X + 112° = 360°
2∠X = 360° - 112° - 40°
2∠X = 208°
∠X = 208°/2
∠X = 104°
Hence, the measure of the ∠X is 104°.
Learn more about Quadrilateral:
https://brainly.com/question/13805601
#SPJ2
