astrocourtney
astrocourtney astrocourtney
  • 07-06-2017
  • Mathematics
contestada

Circle O is shown below. The diagram is not drawn to scale. What is the measure of angle BAC?

134°
113°
56.5°
33.5°

Circle O is shown below The diagram is not drawn to scale What is the measure of angle BAC 134 113 565 335 class=

Respuesta :

Fink Fink
  • 08-06-2017
56.5, since its (180 - 67)/2
Answer Link
lisboa lisboa
  • 06-01-2019

Answer:

angle BAC = 56.5 degree

Step-by-step explanation:

In the given circle O, AO  and BO are the radius of the circle

AO  and BO are same

So the angle opposite of AO and BO are also same

Angle BAC = angle ABO

WE know the sum of angles in a triangle is 180 degree

Angle BAC + ABO + O = 180 degree

Angle O = 67 degree

angle ABO = angle BAC

BAC + BAC + 67 = 180

2BAC + 67= 180

Subtract 67 on both sides

2BAC = 113

Divide by 2 on both sides

BAC = 56.5

Answer Link

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