what the answer in this question pleasee
I need answer now thank youu
Answers
Explanation:
In the given question, we will be using properties of a transversal intersecting parallel lines. A line that intersects two or more lines is called a transversal. In a transversal that cuts two parallel lines,
- Each pair of corresponding angles is equal.
- Each pair of alternate interior angles is equal.
- Measures of each pair of interior angles on the same side of transversal sum up to 180°.
Answers:
1. Solution for x = 98°
Name of the pair of angles: Corresponding angles
2. Solution for x = 65°
Name of the pair of angles: Alternate interior angles
3. Working:
➭ x + (x + 58) = 180
➭ x + x + 58 = 180
➭ 2x = 180 - 58
➭ 2x = 122
➭ x = 122/2
Solution for x = 61°
Name of the pair of angles: Interior angles on the same side of the transversal
4. Solution for x = 90°
Name of the pair of angles: Corresponding angles
5. Working:
➭ 3x + 10 = 5x - 26
➭ 3x - 5x = -26 - 10
➭ -2x = -36
➭ x = -36/-2
Solution for x = 18°
Name of the pair of angles: Alternate interior angles