Mathematics
Grade9
Easy

Question

What is the measure of angle D?

  1. 180°
  2. 104°
  3. 76°
  4. 144°

hintHint:

properties of parallelogram
Opposite sides are parallel ( distance between the opposite sides will be equal)
Opposite sides are congruent.
Opposite angles are same and congruent as well.
diagonals of a parallelogram bisect each other.
Each diagonal of a parallelogram separates it into two congruent triangles.
Same-Side interior angles (consecutive angles) are supplementary

The correct answer is: 104°


    o p t i o n space 2 colon space 104 to the power of o space i s space t h e space c o r r e c t space c h o i c e
I n t e r i o r space a n g l e space B space equals space 180 degree space minus space space E x t e r i o r space a n g l e space B space left square bracket b e c a u s e space o f space L i n e a r space p a i r right square bracket space space space
I n t e r i o r space a n g l e space B space equals space 180 degree space minus space 76 to the power of o
I n t e r i o r space a n g l e space B space equals space 104 degree space
N o w comma space angle space B space equals space angle space D space equals 104 to the power of o space space b e c a u s e left square bracket O p p o s i t e space a n g l e s space o f space a space p a r a l l e log r a m space a r e space e q u a l right square bracket space

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