Question

8. In a quadrilateral ABCD, 2D is equal to 150° and ZA = 2B = 2C. Find ZA, ZB
and LC​

Answer 1

Answer:

⇒ In quadrilateral ABCD, ∠A = 60

∘

and ∠B:∠C:∠D=2:3:7 [Given]

⇒ Let ∠B,∠C,∠D are 2x

∘

, 3x

∘

and 7x

∘

.

⇒ ∠A+∠B+∠C+∠D=360

∘

[Sum of all angles of quadrilateral is 360

∘

]

⇒ 60

∘

+2x

∘

+3x

∘

+7x

∘

= 360

∘

⇒ 12x

∘

= 360

∘

−60

∘

⇒ x

∘

=

12

300

∘

⇒ x

∘

= 25

∘

⇒ ∠D = 7x

∘

Substitute value of x we get,

⇒ ∠D=7×25

∴ ∠D=175

Step-by-step explanation:

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