First of all we draw a rough sketch of given measurement :
In the case of parallelogram :
∠B + ∠C = 180°
∠C = 180° – ∠B
= 180° – 75°
∠C = 105°
Steps of Construction
(i) We draw a line BC = 4 cm.
(ii) At point B and C respectively we construct ∠CBX = 75° and ∠BCY = 105° with BC with the help of ruler and compass only.
(iii) From point B and C, two arc of each 4 cm. are cut on BX and CY. Mark these point A and D respectively.
(iv) Join AD.
Thus, we obtained required rhombus ABCD.
