Question

plz give the correct answer by step-by-step explanation ​

Answer 1

Answer:

x = 30° , y = 60° and z = 90 °

Step-by-step explanation:

Angle x and Angle CDE form a linear pair so ,

= Angle x + 150 = 180

= Angle x = 180 - 150

= Angle x = 30

We know that ABCD is a rectangle and the diagonals of a rectangle bisect each other at an angle of 90 degree hence angle z = 90°

In the given triangle COD we have ,

Angle OCD + Angle COD = Angle CDE

By exterior angle property of a triangle that states that the sum of interior opposite angles is equal to the exterior angle .

= Angle y + 90 = 150

= Angle y = 150 - 90

= Angle y = 60°