manalorianmaverick manalorianmaverick
  • 25-08-2017
  • Mathematics
contestada

If EBH = 6x + 12 and HBC = 8x - 10 find EBH

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nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 31-08-2017
Given that line BH bisects angle EBC, then angle EBH = angle HBC

Thus, 6x + 12 = 8x - 10
8x - 6x = 12 + 10
2x = 22
x = 11

Therefore, EBH = 6(11) + 12 = 66 + 12 = 78 degrees.
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