Calculating angles around a point

1 Workoutthesizesoftheunknownangles.

a) c)

a= ° c= °

b) d)

b= ° d= °

2 Ronturnsclockwisethrough110degrees.

Hecontinuestoturnthesameway.

Hewantstoturntowherehe

wasfacingatthestart.

Howmanymoredegreesdoeshe

needtoturnthrough?

°

3 Workoutthesizeoftheunknownangles.

a) c)

w= ° y= °

b) d)

x= ° z= °

4 Workoutthesizesoftheunknownangles.

a) b)

m= ° n= °

©WhiteRoseMaths2020

60°

a

170°

205°bd

110°

?

145°

70°

240°

265°

w

x

y

z

130°m

70°

n

175°79°

129°

c

©WhiteRoseMaths2020

5 MsHallasksherclasstodrawanangleof250degrees.

a) ExplainwhyAlexiscorrect.

b) Drawanangleof250degrees.

Comparemethodswithapartner.

6 Workoutthesizeofangley.

y = °

7 Workoutthesizesoftheunknownangles.

Givereasonstosupportyouranswers.

a)

b= °because________________

_______________________________________

b)

c= °because________________

_______________________________________

8 Acircleisdividedintotenequalsections.

Whatisthesizeoftheanglemarkedg? g= °

b

My protractor only goesup to 180 degrees.

That’s true. But I think we can still use it.

y48°

190°

65°

bb

ccc231°

g

Amir

Alex