Question

A pair of equal angle of a rhombus has a measure of ${30}^0$ less than the supplementary angle. Find the measure of other pair of equal angles of the rhombus(in degrees).

Answer 1

Given:-

A pair of equal angle of a rhombus has a measure of $30°$ less than the supplementary angle, i.e., $(90°-30°)=60°$.

Sol:-

The four interior angles in any rhombus must have a sum of $360°$. The opposite interior angles must be equivalent, and the adjacent angles have a sum of $180°$.

$\therefore$ If a rhombus has two interior angles of $60°$, there must also be two angles that equal-

$(180°-60°)=120°$

Hence, the other pair of equal angles of rhombus will be 120°.