Question

in
follow
Q. 3. name of the
angles given figure
&3. say
true or False
(i) ach angle of B rectangle is a right angle
B​

Answer 1

Answer:

 In given figure quadrilateral ABCD is a rectangle.

⇒  We know that, rectangle is a parallelogram where one angle 90$∘

⇒  Hence, lets assume ∠A = 90  

∘

 

⇒  AD∥BC  and AB is a transversal   ( Opposite sides of parallelogram are parallel)

⇒  So, ∠A + ∠B = 180  

∘

      (Interior angles on the same side of transversal are supplementary)

⇒  ∠B + 90  

∘

 = 180  

∘

 

⇒  ∠B = 180  

∘

 - 90  

∘

 

⇒  ∠B = 90  

∘

 

Now, we know that,

opposite angles of parallelogram are equal

∴  ∠C = ∠A and ∠D = ∠B

∴  ∠C = 90  

∘

 and ∠D = 90  

∘

 

Hence, we have proved that each of the angles of a rectangle is a right angle.  

solution

Step-by-step explanation: