# The diagonals AC

Given,

ABCD is a rectangle

Diagonals AC & BD intersect each other at P

ABD = 50°

diagonals of rectangle bisect each other and are equal in length

=ABD= PDC [alternate angles]

PDC=PCD = 50°

In ∆DPC

=DPC+PCD+PDC = 180°

= DPC+50°+50°= 180°

= DPC = 180°-100° = 80°

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