Question

given m∥n, find the value of x.
(9x+4)°
(2x-11)°
answer attempt 1 out of 2
x = 35
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Explanation:

Step1: Identify supplementary angles

The given angles are same-side interior angles, so they sum to $180^\circ$.
$$(9x+4) + (2x-11) = 180$$

Step2: Combine like terms

Simplify the left-hand side of the equation.
$$11x - 7 = 180$$

Step3: Isolate the variable term

Add 7 to both sides of the equation.
$$11x = 187$$

Step4: Solve for x

Divide both sides by 11.
$$x = \frac{187}{11}$$

Answer:

$x = 17$