ABCD is a rhombus. Find 'x'?
1 Answer
Nov 19, 2017
Explanation:
using the properties of the rhombus
∙ the diagonals bisect the angles
∙ the diagonals bisect each other at right angles
∙ opposite sides are parallel
BD is a diagonal and bisects ∠ADC
⇒∠ADB=∠CDB=x
∠ABD=∠CDB=x→alternate angles
the sum of the angles in the lower triangle=180∘
⇒36∘+90∘+x=180
⇒x=180−36−90=54∘