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m∠QRS=59° and m∠TUV=31° . Which statement is true about ∠QRS and​ ∠TUV ​?


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

Verified Answer :

Lfbfaye

B the angles are complementary
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The statement that is true about \(\angle QRS,\angle TUV\) is that B. The angles are complementary.

Given: \(\boldsymbol{m\angle QRS=59^{\circ}},\boldsymbol{m\angle TUV=31^{\circ}}\)

If sum of two angles is \(\boldsymbol{90^{\circ}}\) then angles are said to be complementary.

If sum of two angles is \(\boldsymbol{180^{\circ}}\) then angles are said to be supplementary.

To find the correct option, add \(m\angle QRS, m\angle TUV\)

\(m\angle QRS+m\angle TUV=59^{\circ}+31^{\circ}\)

                                \(=\boldsymbol{90^{\circ}}\)

So, option B. (The angles are complementary.) is correct.

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