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1 2 3 4 5 6 Above, there are six compasses. For each compass, calculate the angle shown and name the type of angle shown.
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1 2 3 45° Acute 225° Reflex 270° Reflex 4 5 6 180° Straight 135° Obtuse 90° Right
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Find angles about a point.
Know that there are 360° in a circle. Calculate the complementary angle about a point. Calculate angles about a point.
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Complementary Degrees ° Sum of angles 𝒂𝒏𝒈𝒍𝒆𝒔 Minutes ’ Seconds ”
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Angles about a point sum to 360°.
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Through how many degrees does the minute hand of the clock travel in:
a) 1 hour? 2 hours? 3 hours? Half an hour? Quarter of an hour? Three-quarters of an hour? One minute? Two minutes? Five minutes? Ten minutes? Eleven minutes? Twenty-three minutes? Forty-seven minutes?
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Through how many degrees does the minute hand of the clock travel in:
a) 1 hour: 360° 2 hours: 720° 3 hours: 1080° Half an hour: 180° Quarter of an hour: 90° Three-quarters of an hour: 270° One minute: 6° Two minutes: 12° Five minutes: 30° Ten minutes: 60° Eleven minutes: 66° Twenty-three minutes: 138° Forty-seven minutes: 282°
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Angle Complementary Angle 137° 223° 206° 154° 318° 42° 7° 353° 16° 344° 81° 279° Angle Complementary Angle 137° 7’ 222° 53’ 206° 12’ 153° 48’ 318° 26’ 41° 34’ 7° 23’ 352° 37’ 16° 19’ 343° 41’ 81°57’18” 278° 2’ 42” 𝐶𝑜𝑚𝑝𝑙𝑒𝑚𝑒𝑛𝑡𝑎𝑟𝑦 𝐴𝑛𝑔𝑙𝑒=360 −𝐴𝑛𝑔𝑙𝑒
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𝐶𝑜𝑚𝑝𝑙𝑒𝑚𝑒𝑛𝑡𝑎𝑟𝑦 𝐴𝑛𝑔𝑙𝑒=360 − 𝐾𝑛𝑜𝑤𝑛 𝐴𝑛𝑔𝑙𝑒𝑠
𝜃=360 − 𝑘𝑛𝑜𝑤𝑛 𝑎𝑛𝑔𝑙𝑒𝑠 =360 − =360 −225 =135°
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𝜃=360 − 𝑘𝑛𝑜𝑤𝑛 𝑎𝑛𝑔𝑙𝑒𝑠 =360 − =360 −188 =172° 𝜃=360 − 𝑘𝑛𝑜𝑤𝑛 𝑎𝑛𝑔𝑙𝑒𝑠 =360 − =360 −202 =158°
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𝜃=360 − 𝑘𝑛𝑜𝑤𝑛 𝑎𝑛𝑔𝑙𝑒𝑠 =360 − =360 −210 =150°
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