Any quadrilateral splits into two triangles, so its angles add to twice 180. That single fact answers every question on the page, whether the angles are numbers or expressions.
Select your difficulty
Pick more than one for a sheet that mixes them.
The preview can look cramped on a phone. The PDF and printed sheet come out normal.
Using 180. That is the triangle sum; a quadrilateral is two triangles, so it is 360, and using the wrong one halves every answer.
Also called quadrilateral angle sum, missing angle in a quadrilateral or find x quadrilateral.
What you can put on this worksheet
The four angles
Find the fourth angle. — a quadrilateral with three of its angles marked, labeled x, 88°, 90°, 106°→ 76∘
Right angles by their marks, two angles in x
Find the measure of the angle marked (3x+58)∘.— a quadrilateral with two angles written in x, labeled 99°, 65°→ 85∘
Questions about these worksheets
Yes. Every angles in quadrilaterals sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.
Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.
Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.
Geometry is usually taken around 9th or 10th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.
Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.
That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the angles in quadrilaterals questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.
Yes. There are two levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.
You pick from 2: the four angles and right angles by their marks, two angles in x. Tick as many as you want and set how many of each, or let it spread them evenly.
Using 180. That is the triangle sum; a quadrilateral is two triangles, so it is 360, and using the wrong one halves every answer.