in the figure below, ( l parallel m ). find ( x ).
in the figure below, ( l parallel m ). find ( x ).
Answer
Explanation:
Step1: Use the property of alternate - interior angles
Let the angle adjacent to (48^{\circ}) (on line (m)) be (y). Since (l\parallel m), the sum of (x) and (93^{\circ}) is equal to (180^{\circ}-y). Also, using the property of alternate - interior angles, we know that (y = 48^{\circ}) (alternate - interior angles for parallel lines (l) and (m)).
Step2: Calculate (x)
We know that (x+93^{\circ}=180^{\circ}-48^{\circ}) (because of the relationship between angles formed by parallel lines and a transversal). [ \begin{align*} x&=180^{\circ}-48^{\circ}-93^{\circ}\ x&=39^{\circ} \end{align*} ]
Answer:
(x = 39)