Math, asked by hariscosmos2348, 1 day ago

The diagonals AC and BD of a quadrilateral ABCD in the figure intersect at right angles, AD =AB and DC = BC. If ∟DAC = 30° and ∟DBC = 20°, find the measure of each of the angles marked a, b, c, d and e

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Answered by harshitachandak11
2

Answer:

In given figure,

Quadrilateral ABCD is a parallelogram.

So, AD ∣∣ BC

∴ ∠DAC = ∠ACB --- ( Alternate angle)

∴ ∠ACB = 32

∠AOB + ∠BOC = 180

--- (straight angle)

⇒70

+ ∠BOC = 180

∴ ∠BOC = 110

In △BOC,

∠OBC + ∠BOC + ∠OCB = 180

⇒∠OBC + 110

+ 32

= 180

⇒ ∠OBC = 38

∴ ∠DBC = 38

Answered by mahhameer
1

Answer:

yes the above answer is correct follow hee

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