RoselinO653614 RoselinO653614
  • 03-11-2022
  • Mathematics
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Which of the following is the following measure of angle BOC

Which of the following is the following measure of angle BOC class=

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LataliaW587045 LataliaW587045
  • 03-11-2022

The tangent of a circle always form 90 degree angle with the radius. So measure of angle ABO and angle ACO is 90 degrees each.

The sum of angles of a quadilateral is 360 degrees. So,

[tex]\angle BOC+\angle ABO+\angle ACO+\angle BAC=360[/tex]

Substitute the measures of angles in the equation to obtain the measure of angle BOC.

[tex]\begin{gathered} \angle BOC+90+90+90=360 \\ \angle BOC=360-270 \\ =90 \end{gathered}[/tex]

Thus, measure of angle BOC is 90 degrees.

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