Q48
In the given figure, AB = DB and AC = DC. If ∠ABD = 58° and ∠DBC = (2x - 4)°, ∠ACB = (y + 15)° and ∠DCB = 63° then the value of 2x + 5y is:
In the given figure, AB = DB and AC = DC. If ∠ABD = 58° and ∠DBC = (2x - 4)°, ∠ACB = (y + 15)° and ∠DCB = 63° then the value of 2x + 5y is:
A.
325
B.
273
AnswerC.
259
D.
268
Answer: Option B
Solution
Answer: Option B
Solution:
ΔABC ≅ ΔDBC
y + 15 = 63°
y = 48°
2x - 4 = 29°
2x = 33°
2x + 5y
= 33° + 5 × 48°
= 33° + 240°
= 273°