Question

Lines x and y are parallel. If A=132° then find the values of F and D .

Answer 1

To solve for the angles F and D given that lines x and y are parallel and angle A is 132°, we can use the properties of parallel lines and alternate interior angles, as well as consecutive interior angles.

1. **Identify the Relationship of Angles**:
- If A = 132°, and if angle A and angle F are corresponding angles, then angle F is also 132° (since corresponding angles are equal when the lines are parallel).
- For angle D, if it's an interior angle on the same side of the transversal as angle A, then angle D and angle A are supplementary. Therefore, we can calculate angle D as follows:
\[
D = 180° - A = 180° - 132° = 48°
\]

2. **Final Values**:
- \( F = 132° \)
- \( D = 48° \)

Therefore, the values are:
- \( F = 132° \)
- \( D = 48° \)