Question

Law of sines:

Triangle ABC has measures a = 2, b = 2, and m∠A = 30°. What is the measure of angle B?

15°
30°
45°
60°

Answer 1

It's B=30 degrees

since a and b are equal to number 2, they are the same value. Because A is 30 degrees, B is 30 degrees too.

Answer 2

Answer:  Second option is correct.

Step-by-step explanation:

Since we have given that

ΔABC has measures a=2, b=2, m∠A=30⁰

As we know the "Law of sines " i.e.

$\frac{a}{\sin A}=\frac{b}{\sin B}$

so, we put the given values in above formula:

$\frac{2}{\sin 30\textdegree}=\frac{2}{\sin B}\\\\\implies \sin 30\textdegree=\sin B\\\\\implies B=30\textdegreee$

Hence, Second option is correct.