Answer:
15
Step-by-step explanation:
First off, we can say that angle EMB=240 degrees; angled EMC is 120 degrees. When the arrow shaped figure is split in half, it creates two identical triangles. Since EMB=240 dgrees, angled BMC is equal to 120 degrees and EMB is equal to 120 degrees as well. This means that angle EBC and MCB has to be 30 degrees, and angled MEB and MBE has to be 30 degrees. So, since angle EBC is equal to 30 degrees, that means that angle ABE has to be equal to 150 degrees. Since triangle ABE has two equal sides, angle BAE and angle BEA is equal to 15 degrees. The proof is (180-150)/2=15. So, angle A is equal to 15 degrees.
