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Gelneren [198K]
3 years ago
13

I need this answer really quick PLEASE.

Mathematics
1 answer:
ololo11 [35]3 years ago
3 0

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.

<u>∠BOC is the central angle and is of same measure as intercepted arc BC:</u>

  • m∠BOC = 102°

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

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

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