The value of the angle of the quadrilateral is 80° .
A quadrilateral in geometry is represented as a four-sided polygon with four corners (vertices) and four sides .
- The Latin words quadri, a variation of four, and latus, meaning "side," are the source of the name.
- In reference to other polygons, it is also known as a tetragon, from the Greek "tetra" for "four" and "gon" for "corner" or "angle" (e.g. pentagon). Since "gon" is an anagram for "angle," it is also known as a quadrangle or 4-angle.
- There are two types of quadrilaterals: simple (not self-intersecting) and complex (self-intersecting, or crossed).
- Convex or concave quadrilaterals are simple quadrilaterals.
- The sum of all the angle measures of a quadrilateral is 360°
Given angles of the quadrilateral are 110° ,90⁰ and 80⁰.
Now let us consider the fourth angle be x.
∴110°+ 90⁰ + 80⁰ + x = 360°
or, x = 360° - (280°)
or, x = 80°.
The missing angle of the quadrilateral is 80°
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