Question

I need to find out what x and d are​

Answer 1

x=36 and d=41

Step-by-step 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)

The number of angles of the triangles = 180°

Answer 2

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)

`\tt 2x-5=180-113(supplementary~angles)\\\\2x-5=67\\\\2x=72\\\\x=36`

The number of angles of the triangles = 180°

`\tt 67(2x-5)+72(2x)+d=180^o\\\\139+d=180^o\\\\d=41^o`