if one angle of a rhombus is 56, find the measure of the other angle
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Answered by
7
Consecutive angles of a rhombus are supplementary.
∠BCD
= 180° - ∠ABC
= 180° - 56°
= 124°
Diagonals of a rhombus bisect the interior angles.
∠ACD
= ∠BCD/2
= 124°/2
= 62° ✌✌✌✌
∠BCD
= 180° - ∠ABC
= 180° - 56°
= 124°
Diagonals of a rhombus bisect the interior angles.
∠ACD
= ∠BCD/2
= 124°/2
= 62° ✌✌✌✌
Answered by
29
Let the Rhombus be ABCD
IF MEASURE OF one angle I.e A=56
then, the angle opposite to it is also equal that is C=56
according to the law of Rhombus
then, angle B=D=?
now,measure of all angles of Rhombus=360 degree
A+B+C+D=360
56+B+56+D=360
112+2B=360
2B=360-112
2B=248
B=124
therefore,D=124
A=56
B=124
C=56
D=124
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IF MEASURE OF one angle I.e A=56
then, the angle opposite to it is also equal that is C=56
according to the law of Rhombus
then, angle B=D=?
now,measure of all angles of Rhombus=360 degree
A+B+C+D=360
56+B+56+D=360
112+2B=360
2B=360-112
2B=248
B=124
therefore,D=124
A=56
B=124
C=56
D=124
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