AthenAsGirl966
AthenAsGirl966 AthenAsGirl966
  • 18-09-2020
  • Mathematics
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What's the measure of angle /_A?
I don't know if you can see it well enough but...

Whats the measure of angle A I dont know if you can see it well enough but class=

Respuesta :

jimrgrant1 jimrgrant1
  • 18-09-2020

Answer:

∠ A = 50°

Step-by-step explanation:

The angle at the centre COB is twice the angle at the circumference CDB

∠ COB = 2 × 65° = 130°

The angles ACO = ABO = 90° ( angle between radius and tangent )

The sum of the angles in quadrilateral ABOC = 360° thus

∠ A = 360° - (90 + 90 + 130)° = 360° - 310° = 50°

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