Question

Help Pls! I need this fast!

Answer 1

Answer: 36

Explanation:

`\overline{AB} \cong \overline{BC}` (Triangle ABC is isosceles)

`m\angle CAB=m\angle CBA=30^(\circ)` (base angles of an isosceles triangle are congruent)

`\angle MCB=90^(\circ)` (In triangle CMB, angles in a triangle add to 180 degrees)

`\angle ACM=30^(\circ)` (triangle sum theorem)

`MB=24` (30-60-90 triangle CMB)

`AB=12` (sides opposite congruent angles in a triangle are congruent)

`AB=36` (segment addition postulate)