Answer
a° = 58°
b° = 48°
c° = 74°
d° = 122°
Step-by-step explanation
To answer this, we need to first know
- what alternate angles are.
- that the sum of angles in a triangle is 180°.
- The sum of angles on a straight line is 180°.
Alternate angles are angles that are in opposite positions relative to a transversal intersecting two lines. If the two lines are parallel to each other, then alternate angles are equal.
We can see that
a° = 58°
b° = 48°
Then, for c°,
48° + 58° + c° = 180° (Sim of angles in a triangle is 180°)
106° + c° = 180°
c° = 180° - 106°
c° = 74°
Then, for d°,
58° + d° = 180° (Sum of angles on a stright line is 180°)
d° = 180° - 58°
d° = 122°
Hope this Helps!!!