Question

PLEASE HELP ASAP !!!!!!!!

Answer 1

Answer: 7°

Explanation:

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

EBC = 9(2) - 11 = 18 - 11 = 7°

Answer 2

Answer:

$\large{ \tt{❃ \: EXPLANATION }}:$

• 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 :

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

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

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

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

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

$\large{ \tt{⟶x = \frac{14 \degree}{7 \degree} }}$

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

• The value of x is 2°.

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

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

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

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

۵ Hope I helped! ツ

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