Question

Anyone can help with these?

Answer 1

m∠B=63 degrees

AC≈23.6 units

AB≈26.4 units

Explanation:

since the measures of ∠A and ∠C are given, we add 90 (∠C) to 27 (∠A) and x (∠B) which equals 180 by triangle angle sum theorem.

after isolating the variable, m∠B=63 degrees

we then use law of sin to find AC and AB

since
`(sin(A))/(a)` is already given, use that to find both AC and AB

the equation for AC would be:
`(sin(27))/(12) =(sin(63))/(AC)`

the equation for AB would be:
`(win(27))/(12) =(sin(90))/(AB)`

after isolating the variables, AC≈23.6 units and AB≈26.4 units