x=36 and d=41
Further explanation
When parallel lines get crossed by a transversal some angles will be formed (which have the same magnitude = equal)) :
Corresponding Angles: The angles on the same corners
Alternate Interior Angles: Alternate sides of the Transversal, and on the Interior of the two crossed lines.
Alternate Exterior Angles: on the outer side of each of the two lines and on the opposite side of the transversal.
Supplementary Angles: if both angles are added = 180 °
So : 2x-5 = 113 (Corresponding Angles)
[tex]\tt 2x-5=180-113(supplementary~angles)\\\\2x-5=67\\\\2x=72\\\\x=36[/tex]
The number of angles of the triangles = 180°
[tex]\tt 67(2x-5)+72(2x)+d=180^o\\\\139+d=180^o\\\\d=41^o[/tex]
