Question

in the figure ABCD is a square . if DPC = 80 degree , then find x​

Answer 1

Answer:

<APD + <DPC = 180° (linear pair of angles) <APD +80° = 180°

<APD 100°

Now,

In triangle APL

<APL = <DPC = 80°( vertically opposite angles)

<APL + <PLA = <APD (sum of two interior

angles of a triangle is equal to its opposite

exterior angle)

<PLA = 20°

<PAL = 80° (Sum of all angles of a triangle)

<APL + <PAL = x

80° +80° X

X = 160°

Answer 2

Answer:

x=125°

using exterior angle property i.e exterior angle of a triangle is equal to the sum of two opposite interior angles, this by following the steps given in the pic u get x =125