Q. 243.8( 15 Votes )

PQRSTU is a regular hexagon, Determine each angle of ΔPQT.

Answer :

The sum of interior angles of a polygon = (n – 2) × 180°


The sum of interior angles of a hexagon = (6 – 2) × 180° = 4 × 180° = 720°


Measure of each angle of hexagon =


Proved above



In Δ PUT


[Angle sum property of a triangle]


[Since ΔPUT is isosceles triangle]





Similarly


Therefore





[Using angle sum property of triangle in ΔPQT]


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