If 1 of a parallelogram is two third of its adjacent angle find all angles
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let one angle be x
then the measure of second angle must be (2/3)(x)
as we know that sum of all angles of a parallelogram equals 360° and it's opposite sides are equal.
so,
2{ (x) +(2/3)(x)} = 360°
x +(2/3)(x) = 180°
5x/3 = 180°
5x = 180° × 3
x = 108°
so, 2 oposite angles measure 108°
and the other two opposite equal 72°
then the measure of second angle must be (2/3)(x)
as we know that sum of all angles of a parallelogram equals 360° and it's opposite sides are equal.
so,
2{ (x) +(2/3)(x)} = 360°
x +(2/3)(x) = 180°
5x/3 = 180°
5x = 180° × 3
x = 108°
so, 2 oposite angles measure 108°
and the other two opposite equal 72°
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