Question

9. ABCD is a square and ABK is an equilateral triangle outside the square,

Find measurment of angle DKC
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Answer 1

< DKC =
`60^(0)`

Explanation:

A square is a quadrilateral that has equal length of side. While an equilateral triangle is one with equal length of sides and equal values of angles.

Given square ABCD and that equilateral triangle ABK is outside the square, both figures share side AB. This shows that the length of the sides of the triangle is the same as the length of the side of the square.

i.e /AD/ = /CD/ = /BC/ = /AB/ = /AK/ = /KB/

Thus, < DKC =
`60^(0)` (property of angles in an equilateral triangle)