Question

In the figure, ABCD is a square. In the figure, ABCD is a square. If ∠ DCP=80° then find x. ​

Answer 1

Answer:

160°

Step-by-step explanation:

<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°