Question

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in the figure below, (lparallel m). find (x). 135° 96° (x^{circ}) (x = )

Explanation:

Step1: Find alternate - interior angle

The alternate - interior angle to the $135^{\circ}$ angle is also $135^{\circ}$.

Step2: Use angle - sum property of triangle

The sum of angles in a triangle is $180^{\circ}$. Let the third angle in the triangle be $y$. So, $y = 180-(135 + 96)=180 - 231=- 51$. But we consider the non - reflex angle. The actual equation for finding $x$ using the linear pair and angle - sum is $x=135 - 96$.

Answer:

$39$