keilyme182 keilyme182
  • 22-10-2018
  • Mathematics
contestada

Can you help me answer both questions please for number 5
A.65 degrees
B.115 degrees
C.155 degrees
D.171 degrees

Can you help me answer both questions please for number 5 A65 degrees B115 degrees C155 degrees D171 degrees class=

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tramserran
tramserran tramserran
  • 22-10-2018

Answer: A

Step-by-step explanation:

CD bisects ∠BCD and ∠ACD, so

∠BCD = ∠ACD

5x - 20 = 3x - 2

-3x +20   -3x + 20

2x         =        18

÷2                 ÷2  

         x  =  9

∠BCD = 5x - 20  = 5(9) - 20  = 45 - 20  = 25


∠BCD + ∠CDB + ∠DBC = 180°

   25   +    90    + ∠DBC = 180°

         115           + ∠DBC = 180°

        -115                           -115

                            ∠DBC =  65°

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