in the figure below, l || m. find x.
in the figure below, l || m. find x.
Answer
Explanation:
Step1: Find the third - angle of the triangle
The sum of angles in a triangle is $180^{\circ}$. Let the third - angle of the triangle be $y$. So, $y=180^{\circ}-(65^{\circ} + 60^{\circ})$. $y = 180-(65 + 60)=180 - 125=55^{\circ}$
Step2: Use the property of parallel lines
Since $l\parallel m$, the angle $x$ and the angle $y$ are alternate - interior angles. Alternate - interior angles formed by two parallel lines and a transversal are equal. So, $x = y$. $x=55^{\circ}$
Answer:
$55$