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Work out the size of angle m.

March 23, 2026Mathematics

ScanSolve AI Answer

Answer

117^\circ

5 steps

Identify the shape and its properties.
The given shape is a quadrilateral, which is a polygon with four sides. The sum of the interior angles of any quadrilateral is $360^\circ$ .
Identify the known angles.
The diagram shows three known interior angles:
- One angle is $86^\circ$ .
- Another angle is $67^\circ$ .
- The square symbol indicates a right angle, which is $90^\circ$ .
- The fourth angle is $m$ .
Set up the equation for the sum of the interior angles.
$86^\circ + 67^\circ + 90^\circ + m = 360^\circ$
Add the known angles.
$243^\circ + m = 360^\circ$
Solve for $m$ by subtracting $243^\circ$ from both sides.
$m = 360^\circ - 243^\circ$ $m = 117^\circ$
Final Answer
$117^\circ$