Geometry and measuresKey Stage 3

Angles in a quadrilateral with algebra

Form and solve an equation using a total of 360°.

  • Add all four interior angles and set the total equal to .
  • Collect like terms and solve for .

Example 1

Find the value of .

The four interior angles of a quadrilateral add to 360°.Apply this to both sides.Apply this to both sides.
The four interior angles of a quadrilateral add to 360°.
Apply this to both sides.Apply this to both sides.

Example 2

Find the value of .

The four interior angles of a quadrilateral add to 360°.Apply this to both sides.Apply this to both sides.
The four interior angles of a quadrilateral add to 360°.
Apply this to both sides.Apply this to both sides.

Your turn

Question 1

Find the value of .

Check answer
The four interior angles of a quadrilateral add to 360°.Apply this to both sides.Apply this to both sides.
The four interior angles of a quadrilateral add to 360°.
Apply this to both sides.Apply this to both sides.
Question 2

Find the value of .

Check answer
The four interior angles of a quadrilateral add to 360°.Apply this to both sides.Apply this to both sides.
The four interior angles of a quadrilateral add to 360°.
Apply this to both sides.Apply this to both sides.
Question 3

Find the value of .

Check answer
The four interior angles of a quadrilateral add to 360°.Apply this to both sides.Apply this to both sides.
The four interior angles of a quadrilateral add to 360°.
Apply this to both sides.Apply this to both sides.
Question 4

Find the value of .

Check answer
The four interior angles of a quadrilateral add to 360°.Apply this to both sides.Apply this to both sides.
The four interior angles of a quadrilateral add to 360°.
Apply this to both sides.Apply this to both sides.
Question 5

Find the value of .

Check answer
The four interior angles of a quadrilateral add to 360°.Apply this to both sides.Apply this to both sides.
The four interior angles of a quadrilateral add to 360°.
Apply this to both sides.Apply this to both sides.
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