Question

in a rhombus abcd angle cba =40 degrees find other angles

Answer 1

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Answer 2

The angles of the rhombus ABCD are 40° , 40° , 140° and 140°.

• In rhombus ABCD , ∠CBA = 40°, we have to find the other angles.
• In rhombus opposite angles are equal.

• Therefore, ∠CBA = ∠CDA and ∠BCD=∠BAD(Opposite angles of the rhombus are equal).

• ∠CBA + ∠CDA + ∠BCD + ∠BAD=360     (Sum of all angles of the quadrilateral is 360°)

40 + 40 + ∠BCD + ∠BAD=360

∠BCD + ∠BAD= 280

∠BAD + ∠BAD= 280

∠BAD= 140°.

• Therefore ∠BCD =140°.

• The other angles of the rhombus are 40° , 140° and 140°.