in the figure below, ( l parallel m ). find ( x ).\n( x = square )
in the figure below, ( l parallel m ). find ( x ).\n( x = square )
Answer
Explanation:
Step1: Find the angle adjacent to (135^{\circ})
Since the sum of adjacent angles is (180^{\circ}), the adjacent angle (y = 180^{\circ}- 135^{\circ}=45^{\circ})
Step2: Use the angle - sum property of a triangle
In a triangle, the sum of interior angles is (180^{\circ}). Let the angles of the triangle be (y = 45^{\circ}), (96^{\circ}) and (x). Then (45^{\circ}+96^{\circ}+x = 180^{\circ}) [x=180^{\circ}-(45^{\circ} + 96^{\circ})] [x=180^{\circ}-141^{\circ}]
Answer:
(x = 39)