Respuesta :

the answer is 39

this is because 90-51 = 39 and that is a right triange (90 degrees)

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E \: N}}}} : [/tex]

  • ∠ AOE = a° , ∠EOD = 51° , ∠DOB = 90°

✧ [tex] \underline{ \underline{ \large{ \tt{T \: O \: \: F \: I\: N\: D}}} }: [/tex]

  • value of a

✑ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T \: I \: O\: N}}}}[/tex] :

~Set up an equation and solve for a :

☄ [tex] \large{ \bf{a \degree + 51 \degree + 90 \degree = 180 \degree}}[/tex] [ Sum of angle in a straight line ]

~Add the numbers : 51° & 90°

➛ [tex] \large{ \tt{a \degree + 141 \degree = 180 \degree}}[/tex]

~Move 141° to right hand side and change it's sign

➛ [tex] \large{ \tt{a \degree = 180 \degree - 141 \degree}}[/tex]

~Subtract 141° from 180°

➛ [tex] \large{ \tt{a = 39 \degree}}[/tex]

⤇ [tex] \boxed{ \boxed{ \large{ \text{Our \:Final \: Answer} : \underline{ \tt{a = 39 \degree}}}}}[/tex]

Hope I helped ! ♡

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