Question

$\text{In rhombus ABCD ;}\left(i\right)if\angle ={74}^{\circ };find\angle Band\angle C.\left(ii\right)ifAD=7.5cm;findBCandCD.$

Answer 1

$\because AD||BC\therefore \angle A+\angle B={180}^{\circ }{74}^{\circ }+\angle B={180}^{\circ }\angle B={180}^{\circ }-{74}^{\circ }={106}^{\circ }$

$\because \text{opposite angles of Rhombus are equal.}\therefore \angle A=\angle C={74}^{\circ }\therefore \text{Sides of Rhombus are euqal.}\therefore BC=CD=AD=7.5cm\therefore \left(i\right)\angle B={106}^{\circ };\angle C={74}^{\circ }\left(ii\right)BC=7.5cmandCD=7.5cm$