Start with the shape clue
Look at the yellow arc and follow it from one ray to the other. If the arc takes the short path, it covers less than half a turn. If it wraps around the vertex, the target can be bigger than 180°. Decide which side of the vertex the arc travels through before looking at the grid. Measuring the smaller gap by habit is an easy way to guess the complement to a full turn.
Use a quarter turn as a landmark. Imagine one ray turned a quarter of a circle from the other. Compare that imaginary ray with the actual endpoint. You can use the same method with a half turn by mentally extending one ray through the vertex. This works even when the diagram is tilted.
Use the optional range
The second clue gives a band of at most 30 whole degrees. Start near the middle if the diagram looks evenly balanced within that band. If the arc looks close to one end, make your own estimate there first. A guess at the edge of the band tells you less about your visual accuracy than a guess based on what you see.
After submitting, read the temperature and the exact distance separately. Warm covers an error of 16 to 30 degrees. Hot means 6 to 15 degrees. So close means 1 to 5 degrees. Higher tells you to add the distance to your guess, and Lower tells you to subtract it. For example, a 9-degree error on 84° with a Lower hint points to 75°.
Match the date on both pages
The daily game and its hints use the same date in UTC. A new puzzle opens at 00:00 UTC, so the date can differ from your local calendar near midnight. Compare the date on this page with the game card. If you are ready to see the exact value and how it fits the diagram, open today’s Angledle answer and reveal it there.