Mathematics
Grade9
Easy

Question

Answer the following questions using the given figure.

What is the measure of the arc straight m stack B C D with overparenthesis on top equals ?

  1. 100°                               
  2. 90°          
  3. 60°                                 
  4. None of the above

hintHint:

Sum up the angle subtended by all the arcs enclosed by the letters in the figure.

The correct answer is: 100°            


    stack B C with overparenthesis on top equals 360 minus stack C D with overparenthesis on top minus stack A B with overparenthesis on top minus stack A D with overparenthesis on top equals 360 minus 180 minus 80 minus 40 equals 60 space d e g r e e s
stack B C D with overparenthesis on top equals stack B C with overparenthesis on top plus stack C D with overparenthesis on top equals 60 plus 40 equals 100 space d e g r e e s

    See the position of the letters in the figure and try to solve the problem.

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