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barxatty [35]
2 years ago
8

Please explain how to solve for x in the attached photo.

Mathematics
1 answer:
natulia [17]2 years ago
5 0

Answer:

x = 24°

Step-by-step explanation:

the sum of the interior angles in a triangle = 180°

so:

(2x + 5°) + 64° + 3x - 9° = 180°

combine like terms:

5x + 60° = 180°

subtract 60° from each side of the equation:

5x = 120°

x = 24°

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x = 50.5 \degree

EXPLANATION

We use the sine rule for solving triangles.

This is given by the formula,


\frac{ \sin(A) }{a}  =  \frac{ \sin(B) }{b}  = \frac{ \sin(C) }{c}


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