Angles on a line and around a pointAngles on a line and around a point
Name: Date:
Find the angle marked x. Angles on a line add to 180°, around a point to 360°.
1 degrees
2 degrees
3 degrees
4 degrees
5 degrees
6 degrees
Angles on a line and around a point worksheets
Angles that sit side by side share what is left of the whole: on a straight line they fill 180°, around a point a full 360°. These free printable worksheets draw three angles meeting at a vertex and mark one with x.
If they get stuck
Angles on a line and around a point
The answer key prints on a separate page.
What's on this sheet
This is the multi-step case the angle-pair sheets leave out. A pair of angles fills a right angle or a straight line; here three share the vertex, so the missing one is the whole minus the two that are given. Add the known angles first — that is the step a child skips — then take the sum from 180 or 360.
Why this sheet works
Which whole applies is the reading the figure asks for. Three angles opening off a straight line add to 180; three fanning all the way around a point add to 360, and a child who reaches for the wrong total gets a plausible wrong answer. The instruction names the total and the picture shows it, so the choice is made from the figure rather than guessed.
How this one works
One question from a sheet like this one, worked a step at a time — with a sentence saying what just happened and why.
Angles on a line and around a point, step by step