Respuesta :

Answer:

  • m∠1 = 12°

Step-by-step explanation:

The axis AB is passing through the center O as it hold the diameter.

OC⊥AC as tangent is perpendicular to radius.

∠BOC is the central angle and is of same measure as intercepted arc BC:

  • m∠BOC = 102°

∠BOC is exterior angle to ΔAOC, hence is equal to sum of non-adjacent interior angles:

  • m∠BOC = m∠OAC + m∠OCA
  • 102° = m∠1 + 90°
  • m∠1 = 102° - 90°
  • m∠1 = 12°
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