1. Recognise that angles around a point add up to 360°.
2. The three angles shown are 35°, 160°, and y.
3. Set up the equation: 35 + 160 + y = 360.
4. First, add the known angles: 35 + 160 = 195.
5. The equation becomes 195 + y = 360.
6. Solve for y by subtracting 195 from 360.
Full Answer
165°
The angles around a point sum to 360°.
In the diagram, the angles 35°, 160°, and y are all around a single point.
Therefore, their sum must be 360°.
35° + 160° + y = 360°
First, sum the known angles:
35° + 160° = 195°
Now, subtract this sum from 360° to find y:
y = 360° - 195°
y = 165°
Common mistakes
✗ Assuming the angles add up to 180°.
✗ Making a calculation error in the addition or subtraction.
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