Question

In a rectangle ABCD,if DBC=60, then find DCA
Please give step by step explanation not direct answer.

Answer 1

Answer:

bt in a rectangle all the angles are of 90°

Answer 2

Answer:

<DCA = 60°

Step-by-step explanation:

Given,

ABCD is rectangle.

Then, <A = <B = <C = <D = 90°

<DBC = 60°

We know that, diagonals of rectangle bisect each other. Then let the bisecting point of diagonals be O. Then < COB = 90°

Now in triangle COB,

By using angle sum property,

<COB + <OCB + <DBC = 180°

=> 90° + < OCB + 60° = 180°

=> <OCB = 180° - 150° = 30°

Hence, <OCB = 30°

We know that,

<OCB + <DCA = <DCB

=>30° + <DCA = 90°

=> <DCA = 90° - 30° = 60°

Thus, <DCA = 60°