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m∠ABC=138° and m∠DEF=31° . Which statement is true about ∠ABC and​ ∠DEF ​?

A. The angles are neither complementary nor supplementary.
B. The angles are complementary.
C. The angles are supplementary.

Respuesta :

A. The angles are neither complementary nor supplementary. 

As their sum is neither equal to 90 nor 180, they are none of them

Hope this helps!
JeanaShupp

Answer: The angles are neither complementary nor supplementary.

Step-by-step explanation:

If the sum of two angles is 180 degrees  then we call them as supplementary angles.

If the sum of two angles is 90 degrees  then we call them as complementary angles.

The given angles : m∠ABC=138° and m∠DEF=31°

Sum of angles =m∠ABC+ m∠DEF=[tex]138^{\circ}+31^{\circ}=169^{\circ}[/tex]

which is nor equals to [tex]180^{\circ}[/tex] neither [tex]90^{\circ}[/tex].

Hence, The angles are neither complementary nor supplementary.

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