1. 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.

2. 1 2 3
45° Acute
225° Reflex
270° Reflex 4 5 6
180° Straight
135° Obtuse
90° Right

3. 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.

4. Complementary
Degrees °
Sum of angles
𝒂𝒏𝒈𝒍𝒆𝒔
Minutes ’
Seconds ”

5. Angles about a point sum to 360°.

6. 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?

7. 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°

8. 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

9. 𝐶𝑜𝑚𝑝𝑙𝑒𝑚𝑒𝑛𝑡𝑎𝑟𝑦 𝐴𝑛𝑔𝑙𝑒=360 − 𝐾𝑛𝑜𝑤𝑛 𝐴𝑛𝑔𝑙𝑒𝑠
𝜃=360 − 𝑘𝑛𝑜𝑤𝑛 𝑎𝑛𝑔𝑙𝑒𝑠
=360 −
=360 −225
=135°

11. 𝜃=360 − 𝑘𝑛𝑜𝑤𝑛 𝑎𝑛𝑔𝑙𝑒𝑠
=360 −
=360 −188
=172°
𝜃=360 − 𝑘𝑛𝑜𝑤𝑛 𝑎𝑛𝑔𝑙𝑒𝑠
=360 −
=360 −202
=158°

12. 𝜃=360 − 𝑘𝑛𝑜𝑤𝑛 𝑎𝑛𝑔𝑙𝑒𝑠
=360 −
=360 −210
=150°