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Question
In a quadrilateral HOPE, PS and ES are bisectors of ∠P and ∠E respectively. Give reason.
Solution
Given, HOPE is a quadrilateral.
PS and ES are bisectors of ∠P and ∠E respectively.
A quadrilateral is a closed shape that is formed by joining four points among which any three points are non-collinear.
A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles.
The sum of interior angles of quadrilaterals is always equal to 360 degrees.
The diagonals of the quadrilateral bisect each other.
The diagonals divide the quadrilateral into two pairs of congruent triangles.
The intersection point of the diagonals is also the intersection point of the lines connecting the midpoints of the opposite sides of the quadrilateral.
Therefore, the data is insufficient.
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