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Keith_Richards [23]
3 years ago
14

Geometry. Attached photo. PLEASE FOR THE LOVE OF GOD.

Mathematics
2 answers:
KonstantinChe [14]3 years ago
7 0

Step-by-step explanation:

\angle{DBC   }=(5x+4)°

\angle{ A  }=(2x-2)°

\angle{C   }=(4x-6)°

we know that,

\angle{DBC}=\angle{A}+\angle{C}

<u>According</u><u> </u><u>to</u><u> </u><u>the question</u><u>, </u>

\tt{ 5x+4=2x-2+4x-6  }

\tt{ 5x+4=6x-8  }

\tt{ 6x-5x=4+8  }

\bold{x=12   }

so,

\angle{C }=(4x-6)°=(4×12-6)°=(48-6)°=42°

kupik [55]3 years ago
4 0

Answer:

m<C = 42°

Step-by-step explanation:

Given:

m<A = (2x - 2)°

m<C = (4x - 6)°

m<DBC = (5x + 4)°

Thus:

m<DBC = m<A + m<C (exterior angle theorem of a triangle)

(5x + 4)° = (2x - 2)° + (4x - 6)°

Solve for x

5x + 4 = 2x - 2 + 4x - 6

Collect like terms

5x + 4 = 6x - 8

5x - 6x = -4 - 8

-x = -12

Divide both sides by -1

x = 12

✔️m<C = (4x - 6)°

Plug in the value of x

m<C = 4(12) - 6 = 48 - 6

m<C = 42°

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