nick563427
nick563427 nick563427
  • 12-09-2021
  • Mathematics
contestada



O:250 degrees
A
In this figure, mzBDA =
• and m2BCA =
Please

O250 degrees A In this figure mzBDA and m2BCA Please class=

Respuesta :

jimrgrant1 jimrgrant1
  • 12-09-2021

Answer:

∠ BDA = 55° , ∠ BCA = 70°

Step-by-step explanation:

∠ BOA = 360° - 250° = 110° ( angles round a point )

The central angle is twice the angle on the circle, subtended on the same arc

∠ BDA = [tex]\frac{1}{2}[/tex] ∠ BOA = [tex]\frac{1}{2}[/tex] × 110° = 55°

OBCA is a tangent kite

Opposite angles sum to 180° , then

∠ BCA = 180° - ∠ BOA = 180° - 110° = 70°

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