Question

LMNO is a parallelogram.The angle bisectors of L and M meet at a point P.prove that angle LPM is a right angle.​

Answer 1

Answer:

As we know that sum of adjacent angles of a parrallelogram equal.

Then ang L + ang M = 180 degrees

Bisectors of them will be:

ang L/2 + ang M/2

=(ang L + ang M)/2

=180/2=90 degrees

so, 2 angles of a triangle add up to 90 degrees

then the third angle LPM = 90 (angle sum property)