Question

4 In a rhombus ABCD, AC = AB. State the measures of angle
D and angle BAD.​

Answer 1

Answer:

Step-by-step explanation:

ABCD is a rhombus

AC = AB [ Given]

AB = BC = CD = AC [ Sides of rhombus are equal ]

in Δ ACD

AC = CD = DA

∴ Δ ACD is an equilateral triangle.

∠D = 60°   [ Angle of an equilateral triangle ]

rhombus is also a parallelogram

∠D + ∠A = 180° [ Sum of adjacent angles of a parallelogram is 180° ]

60° + ∠A = 180°

∴ ∠A = 120°

∠BAD = 120°

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