- Angle a: 72°, Reason: Alternate angles are equal.
- Angle b: 113°, Reason: Co-interior angles add up to 180°.
- Angle c: 74°, Reason: The sum of the interior angles of a quadrilateral is 360°, so the interior angle at c is 106°, and c is its supplementary angle (180° - 106°).
- Angle d: 143°, Reason: The sum of angles in a triangle is 180°, so the third angle is 37°, and d is its supplementary angle on a straight line (180° - 37°).
- Angle e: 60°, Reason: Vertically opposite angles are equal. The third angle in the triangle is 60° (180° - 81° - 39°), and e is vertically opposite to it.
- Angle f: 120°, Reason: Angles on a straight line add up to 180°, so f = 180° - 60° (where 60° is the third angle of the triangle).
- Angle g: 125°, Reason: The sum of the interior angles of a quadrilateral is 360°, so the interior angle at g is 55°, and g is its supplementary angle on a straight line (180° - 55°).
Parent Tip: Review the logic above to help your child master the concept of angles formed by transversals worksheet.