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∠C and ​ ∠D ​ are vertical angles with m∠C=−3x+58 and m∠D=x−2 .



What is m∠D ?

Respuesta :

texaschic101
vertical angles are equal

-3x + 58 = x - 2
-3x - x = -2 - 58
-4x = - 60
x = -60/-4
x = 15

m < D = x - 2....15 - 2 = 13 <====
m < C = -3x + 58....-3(15) + 58 = 13 
olayemiolakunle65

Answer:

m<D is [tex]13^{0}[/tex]

Step-by-step explanation:

Vertically opposite angles are said to be equal angles, thus;

                   m<C = m<D

So that,

              -3x + 58 = x -2

             -3x - x = -2 -58

               - 4x = - 60

                 x = [tex]\frac{- 60}{- 4}[/tex]

                 x = 15

Thus,

  m< D = x - 2

           = 15 - 2

           = [tex]13^{0}[/tex]

Therefore, m<D is [tex]13^{0}[/tex]