Question

ABCD is a parallelogram.if angle A is equal to 65 digree,find angle B+D

Answer 1

Angle C = 65 degree
Therefore angle B+angle D =360- angle a + angle C
=360 - 130
=230 degrees

Answer 2

Answer:

angle ∠B + ∠D = 230°

Step-by-step explanation:

Given ABCD is a parallelogram  

                            and ∠A = 65°

In a parallelogram opposite angles are equal

⇒ ∠A = 65° then the opposite angle ∠C = 65°

⇒ ∠B and the opposite angle ∠D are equal

therefore the angles of the parallelogram are  

                                ∠A=65°, ∠C = 65° and ∠B, ∠D

we know that the sum of the interior angles of a quadrilateral = 360°

⇒   ∠A  + ∠B  + ∠C + ∠D =  65° + ∠B + 65° + ∠D  = 360°

                                         = 130° + ∠B + ∠D = 360°

                                         = ∠B + ∠D = 230°