Angles on a line and around a pointAngles around a point
Name: Date:
Find the angle marked x. The angles around each point add to 360°.
1 degrees
2 degrees
3 degrees
4 degrees
5 degrees
6 degrees
Angles around a point worksheets
Angles fanning all the way around a single point fill a full turn: together they add to 360°. These free printable worksheets draw angles meeting at a vertex and mark one with x.
Kid stuck on one? You don’t just get the sheet.
Angles around a point
The answer key prints on a separate page.
What's on this sheet
The combined line-and-point sheets make a child choose between 180° and 360° first; this one keeps to the full turn, so the total is always 360°. Holding the whole steady is what lets the practice be about finding the missing angle rather than about deciding which total to reach for.
Why this sheet works
The method is the same shape as the straight-line sheet, one number larger: add the angles you are given, then subtract from 360. Adding the known angles first is the step to hold onto, because with several wedges around the point a running subtraction is where a child loses track.
How this one works
One question from this sheet, worked through a step at a time.
Angles around a point: x, 140°, 85°
140° + 85° + x=360°
140° + 85°=225°
360° − 225°=135°
- The angles around a point add up to 360°, so all three together make 360°.
- Add the two you are given first: 140 + 85 = 225.
- Then take that from 360°: 360 − 225 = 135. So x = 135°.