Question

Find the value of the variables in the kite below. 14 mm 23 151

Answer 1

We know that the interior angles of a kite sum 360°.

`x+y+151+73=360`

We also know that y = 73 because those angles are congruent.

`\begin{gathered} x+73+151+73=360 \\ x=360-297 \\ x=63 \end{gathered}`

Additionally, the opposite sides are always congruent so k = 14.

Hence, x = 63, y = 73, and k = 14.