a) Find the value of each variable in the given square.
b) One of the diagonals of a rhombus is equal to one of its
sides. Find the angles of the rhombus

Answers
Step-by-step explanation:
a)
2x = 90° (We all know that for a square)
=>x = 45°
A diagonal inside a square always divides the angles into two equal parts, hence
5y = 90°/2( two parts of 90°)
=> y = 45/5 = 9°
A square has always equal measure of sides,
that is 2k = 16
k = 8
x = 45°, y = 9° and k = 8 are your answers to (a).
(b) One of its diagonals of a rhombus is equal to one of its sides i.e,. one diagonal is equal to any side of a rhombus as a rhombus has its all sides equal.
Hence, we get two equilateral triangle inside the rhombus. as we all know an equilateral triangle has 60° as their inner angles i.e,. two anglea of the rhombus are of 60° and other two angles are of 120° as the diagonal divides an angle into two equal parts.
Answers to your question are 60°, 120°, 60° and 120°.
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