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
C. 259
D. 268
Answer: Option B
Solution (By Examveda Team)

ΔABC ≅ ΔDBC
y + 15 = 63°
y = 48°
2x - 4 = 29°
2x = 33°
2x + 5y
= 33° + 5 × 48°
= 33° + 240°
= 273°
Related Questions on Geometry
A. $$\frac{{23\sqrt {21} }}{4}$$
B. $$\frac{{15\sqrt {21} }}{4}$$
C. $$\frac{{17\sqrt {21} }}{5}$$
D. $$\frac{{23\sqrt {21} }}{5}$$
In the given figure, ∠ONY = 50° and ∠OMY = 15°. Then the value of the ∠MON is

A. 30°
B. 40°
C. 20°
D. 70°


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