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Opposite Sides of a Parallelogram Are Equal

In a rhombus ...

Question

In a rhombus ABCD, if ∠ACB = 40°, then ∠ADB =

(a) 70°

(b) 45°

(c) 50°

(d) 60°

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Solution

Rhombus ABCD is given as follows:

It is given that.

Therefore, (Because O lies on AC)

We know that the diagonals of a rhombus intersect at right angle.

Therefore,

By angle sum property of a triangle, we get:

Since, O lies on BD

Also ,

Therefore,

Hence, the correct choice is (c).

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Similar questions

In a rhombus ABCD, if $∠ A C B = 40^{\circ}$ , then $∠ A D B =$

∠ A C B = 40^{\circ}

∠ A D B

40^{\circ}

45^{\circ}

50^{\circ}

60^{\circ}

ABCD is a rhombus such that $∠ A C B = 50^{\circ}$ . Then, $∠ A D B =$ ?

(a) $40^{\circ}$

(b) $25^{\circ}$

(d) $130^{\circ}$

∠ A C B = 40^{\circ}

∠ A D B

40^{\circ}

45^{\circ}

50^{\circ}

60^{\circ}

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