Respuesta :
Answer:
Option (D) is correct.
Step-by-step explanation:
In a triangle BCD , with b, c, d as the sides of triangle.
Sine rule states when we we divide side b by the sine of angle B then it is equal to side c divided by the sine of angle C and also equal to side d divided by the sine of angle D.
Using Sine rule,
[tex]\frac{b}{\sin B}=\frac{c}{\sin C}=\frac{d}{\sin D}[/tex]
Consider the first and third ratio,
[tex]\frac{b}{\sin B}=\frac{d}{\sin D}[/tex]
Substitute the values of d = 3 , b= 5 and ∠D=25°
[tex]\Rightarrow \frac{5}{\sin B}=\frac{3}{\sin 25^{\circ}}[/tex]
[tex]\Rightarrow \sin B=\frac{\sin 25^{\circ} \times 5}{3}}[/tex]
[tex]\Rightarrow \sin B=45,135[/tex]
Thus, Measure of angle B is 45 and 135 as sinB is positive is first and 2nd quadrant.
Thus, option (D) is correct.
