Question

Help Pls! I need this fast!

Answer 1

Answer: 36

Step-by-step 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)