kkqueenie13 kkqueenie13
  • 25-10-2020
  • Mathematics
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Segment BH bisects angle ABC, the angle ABH =7x-5 and the angle CBH =3x+11. Find the angle of ABC

Segment BH bisects angle ABC the angle ABH 7x5 and the angle CBH 3x11 Find the angle of ABC class=

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felixkings
felixkings felixkings
  • 25-10-2020

Answer:

[tex]angle \: abc = 46. \\ angle \: bac = 67. \\ angle \: acb = 67. \\ [/tex]

Step-by-step explanation:

[tex]angle \: ABH \: =7x - 5 \\ and \\ angle \: CBH =3x+11. \\ but \: ABH = CBH \\ so \: 7x - 5 = 3x + 11 \\ 4x = 16 \\ x = 4. \\ then \\7x - 5 = 23. \\ 3x+11 = 23.[/tex]

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