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What is the measure of the inscribed angle ABC if the measure of the arc, which this angle intercepts is: 48, 57, 90, 124, 180.

2 Answers

3 votes

I hope you understand it well :)

The measure of an inscribed angle is half the measure intercepted arc.

With that rule

  • If the arc is 48 the inscribed angle would be
    (48)/(2)=24
  • If the arc is 57 the inscribed angle would be
    (57)/(2)=28.5
  • If the arc is 90 the inscribed angle would be
    (90)/(2)=45
  • If the arc is 124 the inscribed angle would be
    (124)/(2)=62
  • If the arc is 180 the inscribed angle would be
    (180)/(2)=90

Hope this helps :)

If you have a doubt just reply over here, I would be happy to help you further :)

User Johannes Gerer
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2 votes

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

The rule is:

The inscribed angle would be half the measure of the intercepted arc

If the arc was 48, the inscribed angle = 48/2 = 24 degrees

If the arc was 57, the inscribed angle = 57/2 = 28.5 degrees

If the arc was 90, the inscribed angle = 90/2 = 45 degrees

If the arc was 124, the inscribed angle = 124/2 = 62 degrees

If the arc was 180, the inscribed angle = 180/2 = 90 degrees

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

User Alexunder
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5.7k points