Question

ABCD is a rhombus with angle ABC is 56 and Determine angle ACD

Answer 1

IN A RHOMBUS THE ADJACENT ANGLES ARE SUPPLEMENTARY

MEANS THEIR SUM = 180°

NOW,

∠ABC AND ∠BCD ARE SUPPLEMENTARY

∠ABC + ∠BCD =180°

56° + ∠BCD = 180°

∠BCD = 124°--------------------------------------1

NOW LETS DRAW DIAGONAL AC

DIAGONAL OF A RHOMBUS BISECTS THE ANGLES

SO,

∠ACD + ∠ACB = ∠BCD

∠ACD + ∠ACB = 124° (FROM 1)

2∠ACD = 124°

∠ACD = 62°