Respuesta :

B=60 and C=90. I hope this helps

Answer:

One possible triangle

Step-by-step explanation:

Given that in a triangleABC given one angle A =30 , two sides a and b

We can use sine angle formula for triangles

[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]

Substitute to get

[tex]\frac{4}{sin30} =\frac{6}{sin B} =\frac{c}{sinC}[/tex]

[tex]sin B = 0.75\\B=48.6[/tex]

C=[tex]180-30-48.6\\= 101.4[/tex]

[tex]c=8sin 101.4\\c=7.842[/tex]

There can be only one triangle