How do I start this?

Question

Find A and B to the nearest tenth

∠A is 28 degrees 

∠C is 50 degrees 

and between A and B is 15

                                                                                          

It might be a little unclear 

Answer 1

You're probably looking for a and b. Not A and B because uppercase letters denote angles and the 15 is side between A and B, or let's just say c = 15.

 

The easiest thing that you can get is angle B because the total interior angle for a triangle is 180.

 

A + B + C = 180, B = 180 - A - C; B = 180 - 28 - 50; B = 102°

 

From there you can just use Sine Law.

 

a/sinA = b/sinB = c/sinC

 

For a:

 

a/sin28 = 15/sin50

 

For b:

 

b/sin102 = 15/sin50

 

You can do the calculations.