Mathematics
Grade9
Easy

Question

How are angle H K N and angle A B E related to each other?

  1. Alternate exterior angles
  2. Angles with equal measures
  3. Complementary angles
  4. Supplementary angles

hintHint:

In this question we have to find the relation between the two given angles. As LN is parallel to FJ and FJ is parallel to AD So by alternate interior angle angle N K H equals angle E H K and angle A B E space equals angle B E H and angle E H K space a n d space angle B E H spaceare consecutive interior angles.

The correct answer is: Supplementary angles


    angle H K N and angle A B E are supplementary angles.
    angle H E B equals angle A B E space space left parenthesis A l t e r n a t e space i n t e r i o r space a n g l e right parenthesis space............ space e q u space 1
angle E H K equals angle N K H space left parenthesis A l t e r n a t e space i n t e r i o r space a n g l e right parenthesis space............ e q u space 2
angle H E B plus angle E H K equals 180 degree space left parenthesis C o n s e c u t i v e space i n t e r i o r space a n g l e s right parenthesis
angle A B E plus angle N K H equals 180 degree space left parenthesis f r o m space e q u space 1 space a n d space e q u space 2 right parenthesis
S o space t h e space b o t h space a n g l e s space a r e space s u p p l e m e n t a r y space a n g l e s.

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