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Question

A pair of equal angle of a rhombus has a measure of 300 less than the supplementary angle. Find the measure of other pair of equal angles of the rhombus(in degrees).

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Solution

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°.
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°.

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