please solve the question number 20 complete solution send the solution pick thanks
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All the sides of a rhombus are equal. So if one diagonal is equal to one side, we have 2 equilateral triangles with a common base. Hence all the angles of the 2 triangles are 60 degrees each. Thus one pair of opposite angles of the rhombus is 60 degrees and the other pair 120 degrees.
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Heya User,
--> Concept :-> Rhombus is a ||gm with all sides equal...
-->As in the fig plus according to the Question :->
--> Let AB = AC
--> AB = BC = AC;
=> ΔABC is equilateral and hence, --> ∠A = ∠B = ∠C = 60°
Now,
--> Note :-> Opposite angles of a ||gm are supplementary, i.e.,
---> ∠A + ∠C = 180°
==> ∠C + 60° = 180°
==> ∠C = 120° <-- Ans..
Hence, the angles of the Rhombus are :-> 60°, 120°, 60°, 120° or vice versa
--> Concept :-> Rhombus is a ||gm with all sides equal...
-->As in the fig plus according to the Question :->
--> Let AB = AC
--> AB = BC = AC;
=> ΔABC is equilateral and hence, --> ∠A = ∠B = ∠C = 60°
Now,
--> Note :-> Opposite angles of a ||gm are supplementary, i.e.,
---> ∠A + ∠C = 180°
==> ∠C + 60° = 180°
==> ∠C = 120° <-- Ans..
Hence, the angles of the Rhombus are :-> 60°, 120°, 60°, 120° or vice versa
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