Question

______ angle of a rombus are not
equal.​

Answer 1

Answer:

all

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

⇒ In given figure, ABCD is a rhombus with diagonal AC.

⇒ We know that, BC ∥ AD and AC is a transversal. .... (Opposite sides of rhombus are parallel)

⇒ So, ∠ACB = ∠CAD . ---- (Alternate interior angles are equal) ---- (1)

⇒ Similarly, we know that AB∥ CD an AC is a transversal.

⇒ So, ∠BAC = ∠ ACD --- (Alternate interior angle) ---- (2)

⇒ In △ABC and △CDA, we have

⇒ ∠ACB = ∠CAB [From (1)]

⇒ ∠BAC = ∠ACD [From (2)]

⇒ AC is common

⇒ So, both triangles are congruent (As per ASA congruence rule)

∴ △ABC ≅ △CDA

⇒ So, ∠ABC = ∠CDA

⇒ Adding (1) and (2), we get --- (3)

⇒ ∠ACB + ∠ACD = ∠CAD + ∠BAC

⇒ Or, ∠BCD = ∠BAC --- (4)

So, from (3) and (4) we have proved that Opposite angles of rhombus are equal.