Angles in a kite
A kite is symmetrical. So it has two opposite and equal angles.
A A kite has two pairs of adjacent sides with equal lengths, like two isosceles triangles with their bases joined. is made up of two isosceles triangles joined base to base.
Its diagonals are not equal but the longer one cuts the shorter in half at \(90^\circ\).
Question
For this kite we are given an angle of \(40^\circ\). What is the value of \(y^\circ\)?
Using the vertical line of symmetry, the opposite angle is \(40^\circ\).
Now using the right-angled triangle:
\(y^\circ = 180^\circ - (90^\circ + 40^\circ )\)
\(y^\circ = 180^\circ - 130^\circ \)
\(y^\circ = 50^\circ\)
