Question

5 one angle of a quadrilateral is \\(135^\circ\\). all the other angles are the same size.
work out the size of the other angles.

Explanation:

Set up the angle sum equation

$$ 135^\circ + 3x = 360^\circ $$

Solve for the unknown sum

$$ 3x = 360^\circ - 135^\circ = 225^\circ $$

Calculate the size of each remaining angle

$$ x = \frac{225^\circ}{3} = 75^\circ $$

Answer:

\(75^\circ\)