Question

If sum of two numbers a and b (a > b) is 3 times their
G.M. and given that a : b = (p+√q):(p-√q),
where p and q are prime numbers, then p + q is
a) 6
b) 8
c) 4
d) 10​

Answer 1

ANSWER

⇒ Let given quadrilateral ABCD is a parallelogram.

⇒ Then, AB∥CD and AD∥BC (Opposite sides of parallelogram are parallel)

⇒ ∠DAB = ∠BCD (Opposite angles of parallelogram are equal)

⇒ Since, it's given that ∠DAB =75

∘

. Then, ∠BCD = 75

∘

---- (1)

⇒ ∠DBC = 60

∘

---- ( 2 ) (Given)

⇒ In △DCB,

⇒ ∠BDC + ∠BCD + ∠DBC = 180

∘

⇒ ∠BDC + 75

∘

+ 60

∘

= 180

∘

[From (1) and (2) ]

⇒ ∠BDC = 180

∘

- 135

∘

∴ ∠BDC=45

∘

hope it helps you