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Sagot :
Answer:
See below
Step-by-step explanation:
The three angles inside of the triangle sum to 180
11x + 4 + 3x + 78 = 180
14x +82 =180
x = 7
then B = 11x + 4 = 11(7) + 4 = 81 degrees
C = 3x = 21 degrees
Answer:
x = 7
Angle B = 81°
Angle C = 21°
Step-by-step explanation:
The sum of the Interior angles of a Triangle add up to 180°
Therefore it is safe to say
Angle A + Angle B + Angle C = 180°
Now we can substitute in our values:
78° + 11x° + 4° + 3x° = 180°
Add like terms:
82° + 14x = 180°
Minus 82° from both sides:
14x = 180° - 82°
14x = 98°
Divide both sides by 14
x = 98°/14
x = 7°
If x = 7°
Angle B = 11(7)° + 4° = 81°
Angle C = 3(7)° = 21°
To double check your answer
Angle A + Angle B + Angle C = 180°
78° + 81° + 21° = 180°
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