Question

I need this answer really quick PLEASE.

Answer 1

• m∠1 = 12°

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°