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kolezko [41]
2 years ago
14

Please help and explain

Mathematics
2 answers:
nexus9112 [7]2 years ago
6 0

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°

Brainliest?

bagirrra123 [75]2 years ago
5 0

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

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