a) What type of triangle is triangle ABC? b) Give reasons for your answer. I need the correct answer for B with Reasons Not "ab and ac are the same" any word other than the same ​

a What type of triangle is triangle ABC b Give reasons for your answer I need the correct answer for B with Reasons Not ab and ac are the same any word other th class=

Respuesta :

Answer: isosceles

Step-by-step explanation:

By the alternate interior angles theorem, [tex]\angle CAB=50^{\circ}[/tex]

Since angles in a triangle add to 180 degrees, [tex]\angle ACB=180^{\circ}-80^{\circ}-50^{\circ}=50^{\circ}[/tex]

Since sides opposite equal angles in a triangle are equal, [tex]AB=BC[/tex].

So, triangle ABC is isosceles