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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.

User Zsyesenko
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2 Answers

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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!
User Jeremija
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Answer: The angles are neither complementary nor supplementary.

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=
138^(\circ)+31^(\circ)=169^(\circ)

which is nor equals to
180^(\circ) neither
90^(\circ).

Hence, The angles are neither complementary nor supplementary.

User Eden Crow
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