Question

3. In a quadrilateral ABCD, ZA = 150° and ZB= 2C = ZD, find ZB, ZC
and ZD.
4. In the adjoining figure, P is a point in the interior of ZAOB and
LAOR=400 IF DILO​

Answer 1

⇒  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∘ = 12300∘

⇒  x∘ = 25∘

⇒  ∠D = 7x∘

Substitute value of x we get,

⇒  ∠D=7×25

∴  ∠D=175∘

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