Q6 of 28 Page 133

In a rhombus ABCD, ∠C = 70°. Find the other angles of the rhombus.

Given a rhombus ABCD,



According to the problem, it is given that ∠C = 700.


We know that in a rhombus, the sum of adjacent angles is 1800.


The opposite angles are equal.


So, we can say that;


∠A = ∠C.


∠B = ∠D.


∠C + ∠D = 1800.


From the values and equations, we can write that,


⇒ ∠A = 700.


⇒ 700 + ∠D = 1800


⇒ ∠D = 1800 - 700


⇒ ∠D = 1100.


⇒ ∠B = 1100.


The angles ∠A, ∠B, ∠D is 700, 1100, 1100.


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