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


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

Respuesta :

B the angles are complementary
mark this as brainiest answer please

The statement that is true about [tex]\angle QRS,\angle TUV[/tex] is that B. The angles are complementary.

Given: [tex]\boldsymbol{m\angle QRS=59^{\circ}},\boldsymbol{m\angle TUV=31^{\circ}}[/tex]

If sum of two angles is [tex]\boldsymbol{90^{\circ}}[/tex] then angles are said to be complementary.

If sum of two angles is [tex]\boldsymbol{180^{\circ}}[/tex] then angles are said to be supplementary.

To find the correct option, add [tex]m\angle QRS, m\angle TUV[/tex]

[tex]m\angle QRS+m\angle TUV=59^{\circ}+31^{\circ}[/tex]

                                [tex]=\boldsymbol{90^{\circ}}[/tex]

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

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