PLS HELPPPP 14. IF m1 = (x + 13)° mz2 = 39° AND mz3 = (5x + 4)º. SOLVE FOR X.

Jonathan DeMarks asked Jun 10, 2023

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26 votes

PLS HELPPPP

14. IF m1 = (x + 13)°
mz2 = 39° AND
mz3 = (5x + 4)º.
SOLVE FOR X.

Jonathan DeMarks asked Jun 10, 2023

2.5k points

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15 votes

Answer: x=12

Explanation:

$m\angle1=(x+13)^0 \ \ \ \ \ m\angle2=39^0\ \ \ \ m\angle3=(5x+4)^0\\$

The sum of the angles of the triangle is 180°:

$(x+13)+39+(180-(5x+4))=180\\\\x+13+39+180-5x-4=180\\\\-4x+48=0\\\\-4x+48+4x=0+4x\\\\48=4x$

Divide both parts of the equation by 4:

$12=x\\\\Thus,\ x=12$

Enowneb answered Jun 14, 2023

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