Question

In a rhombus $ABCD,\angle C={70}^{\circ }$. Find the other angles of the rhombus.

Answer 1

$\angle A=\angle C={70}^o$ [Opposite angles]
$\angle A+\angle B={180}^o$ [Adjacent angles of a rhombus]
${70}^o+\angle B={180}^o$
$\angle B={180}^o-{70}^o$
$\angle B={110}^o$
$\angle B=\angle D={110}^o$ [Opposite angles are equal]
Angles are ${70}^o,{110}^o,{70}^o$ & ${110}^o$.