WILL GIVE BRAINLIEST to whoever can answer this question correctly for me

x = 7.5° and y = 75°

Solution:

ΔMNO is equilateral triangle.

Each angle in equilateral triangle is 60°.

m∠MNO = 60°,  m∠NOM = 60°,  m∠NMO = 60°

⇒ m∠MNO = 60°

⇒ 2x° + 4x° + 2x° = 60°

⇒ 8x° = 60°

Divide by 8 on both sides of the equation.

⇒ x° = 7.5°

In the triangles which contain NM and NO, angles are 2x° , 2x°.

2x° = 2(7.5°) = 15°

In small triangle which contain NO,

60° + 2x° + unknown side = 180°

60° + 15° + unknown side = 180°

75° + unknown side = 180°

unknown side = 180° – 75°

unknown side = 105°

The unknown side of small triangle which contain NO = 105°

This side and y° forms a linear pair.

y° + 105° = 180°

y° = 180° – 105°

y° = 75°

Hence x = 7.5° and y = 75°.

you probably already have the answer but anyways it's b. 15.0

step-by-step explanation:

step-by-step :