3 years ago

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

Mathematics

1 answer:

Alborosie3 years ago

4 0

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 = $\frac{1}{2}$ ∠ BOA = $\frac{1}{2}$ × 110° = 55°

OBCA is a tangent kite

Opposite angles sum to 180° , then

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

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