The true statements about concave pentagon are:
- The measure of the interior angle at the fifth vertex is greater than 180°
- One diagonal lies outside the pentagon.
- All the vertices of the pentagon point outwards.
Concept used:
A simple polygon is concave if and only if at least one of its internal angles is greater than 180°.
Sum of exterior angles of all polygons is 360°.
Explanation:
A concave pentagon is pentagon with 5 sides and an angle more than 180°.
Not all vertices of it points outwards( check picture below)
If a concave pentagon with interior angles that measure 110°, 80°, 72°, and 62° for four of its vertices, then fifth vertex is greater than 180°.
Always its one diagonal lies outside the pentagon.
Sum of exterior angles is 360°.
A regular pentagon has all angles and sides equal, and its convex not concave.
The true statements about concave pentagon are:
- The measure of the interior angle at the fifth vertex is greater than 180°
- One diagonal lies outside the pentagon.
- All the vertices of the pentagon point outwards.
Learn more about concave pentagon:
https://brainly.com/question/483306
