Question

PLEASE HELP ASAP !!!!!!!!

Answer 1

Answer: 7°

Step-by-step explanation:

FBD = EBC
2x + 3 = 9x - 11
-7x = -14
x = -14/-7
x = 2

EBC = 9(2) - 11 = 18 - 11 = 7°

Answer 2

`\large{ \tt{❃ \: EXPLANATION }}:`

• We're provided - m
  `\angle` FBD = ( 2x + 3 ) ° & m
  `\angle` EBC = ( 9x - 11 ) ° and We're asked to find m
  `\angle` EBC .

• Do you know what vertically opposite angles are ? - When two lines intersect , the angles formed opposite to each other are called vertically opposite angles. Vertically opposite angles [ VOA ] are always equal to each other.

`\large{ \tt{❁ \: SOLUTION}} :`

• Set up an equation and solve for x :

`\large{ \tt{❈ \: (2x + 3) \degree = (9x - 11) \degree} \: (BEING\: VERTICALLY \: OPPOSITE \: ANGLES)}`

`\large{ \tt{⟶2x \degree + 3 \degree = 9x \degree - \: 11 \degree}}`

`\large{ \tt{⟶3 \degree + 11 \degree = 9x \degree - 2x \degree}}`

`\large{ \tt{⟶14 \degree = 7x \degree}}`

`\large{ \tt{⟶ \: 7x \degree = 14 \degree}}`

`\large{ \tt{⟶x = (14 \degree)/(7 \degree) }}`

`\boxed{\large{ \tt{⟶x = 2 \degree}}}`

• The value of x is 2°.

`\large{ \tt{☄ \: REPLACING \: VALUE}} :`

`\large{ \tt{↝ \: m \: \angle \: EBC = (9x - 11) \degree = (9 * 2 - 11) \degree = \boxed{ \boxed{ \tt{7 \degree}}}}}`

• 
  `\boxed{ \boxed{ \large{ \tt{OUR \: FINAL \: ANSWER : \boxed{ \underline{ \bold{} \tt{7 \degree}}}} }}}`

`\tt{✺ \: NOTHING \: CAN \: GIVE \: YOU \: THE \: POWER \: MORE \: THAN \: EDUCATION \: DOES!} \: ♪`

۵ Hope I helped! ツ

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