All angles of a trapezium are equal. State whether the statement is true or false.
Solution:
Given, All angles of a trapezium are equal.
We have to determine if the given statement is true or false.
A trapezium is a two-dimensional quadrilateral having a pair of parallel opposite sides.
The opposite parallel sides are referred to as the base and the non-parallel sides are referred to as legs of the trapezium.
It is a closed plane shape having four sides and four corners.
The properties of trapezium are
1. The bases of a trapezium are parallel to each other.
2. The length of both the diagonals is equal.
3. The diagonals of a trapezium always intersect each other.
4. The adjacent interior angles sum up to 180°.
5. The sum of all the interior angles in a trapezium is always 360°.
Therefore, all angles of a trapezium are not equal.
✦ Try This: All angles of a rectangle are equal. State whether the statement is true or false.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 5 Problem 92
All angles of a trapezium are equal. State whether the statement is true or false.
Summary:
The given statement, ”All angles of a trapezium are equal” is false.
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