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.

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.

`(a)/(\sin A)=(b)/(\sin B)\\`

so, we put the given values in above formula:

`(2)/(\sin 30\textdegree)=(2)/(\sin B)\\\\\implies \sin 30\textdegree=\sin B\\\\\implies B=30\textdegreee`

Hence, Second option is correct.