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lianna [129]
3 years ago
8

B(3x -4) A(9x + 17) C(6x -31) solve for angle A​

Mathematics
1 answer:
myrzilka [38]3 years ago
5 0

Answer:

Angle A=116\°

Step-by-step explanation:

Given:

Three angles of a triangle ABC.

A(9x+17)\\B(3x-4)\\C(6x-31)

Angle sum of a triangle is always = 180°

∴ A+B+C=180\°

Plugging in values of A,B \ and\ C

(9x+17)+(3x-4)+(6x-31)=180

Combining like terms.

9x+3x+6x+17-4-31=180

18x-18=180

Adding 18 both sides.

18x-18+18=180+18

18x=198

Dividing both sides by 18.

\frac{18x}{18}=\frac{198}{18}

∴ x=11

Angle A=9x+17

Plugging in value of x

Angle A=9(11)+17

Angle A=99+17

Angle A=116\°

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