Can someone please answer this correctly for me, no one has been able to and i really need it correct

x = 7.5 and y = 75°

Explanation:

ΔMNO is an equilateral triangle

So, all the interior angles, ∠MNO, ∠NOM and ∠NMO are same

∠MNO + ∠NOM + ∠NMO = 180°

z + z + z = 180°

3z = 180°

z = 60°

Thus, ∠MNO , ∠NOM and ∠NMO = 60°

∠MNO = 2x + 4x + 2x

60° = 8x

x = 7.5

In ΔNOB,

∠BNO + ∠NOB + ∠OBN = 180°

2x + 60° + ∠OBN = 180°

15° + 60° + ∠OBN = 180°

∠OBN = 105°

∠NBA = 180° - ∠OBN

y = 180° - 105°

y = 75°

Therefore, x = 7.5 and y = 75°

20

step-by-step explanation: