Question

if a Quadrillater ABCD , A=60 ,B=75 , D=95 find out C= ​

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∘ = $\frac{300°}{12}$

Now, ∠D=7x∘.

Substitute value of x we get,

⇒  ∠D=7×25o

∴  ∠D=175∘.