Question

A B CD is a quadrilateral in which AB // CD and
ADI/BC. if LA=60' then find LB, LC, and LD.​

Answer 1

Step-by-step explanation:

Correct option is

C

Kite

AB,BC and CD,DA represent two pairs of equal adjacent sides. We know that in a kite, the four sides can be grouped into two pairs of equal length sides that are adjacent.

Hence, the given quadrilateral is a kite.

Answer 2

Answer:

Correct option is

A

175

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⇒ In quadrilateral ABCD, ∠A = 60

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and ∠B:∠C:∠D=2:3:7 [Given]

⇒ Let ∠B,∠C,∠D are 2x

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, 3x

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and 7x

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.

⇒ ∠A+∠B+∠C+∠D=360

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[Sum of all angles of quadrilateral is 360

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]

⇒ 60

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+2x

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+3x

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+7x

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= 360

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⇒ 12x

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= 360

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−60

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⇒ x

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=

12

300

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⇒ x

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= 25

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⇒ ∠D = 7x

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Substitute value of x we get,

⇒ ∠D=7×25

∴ ∠D=175

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