Answer:
See Explanation
Step-by-step explanation:
Both vertical lines are parallel to each other. (given)
Similarly, both horizontal lines are also parallel to each other.. (given)
So, quadrilateral obtained by the intersection of both vertical and horizontal lines is a rectangle.
Therefore,
[tex] \angle 7 \cong \angle 6... (1)[/tex]
(corresponding angles)
[tex] \angle 6 \cong \angle 5... (2)[/tex]
(corresponding angles)
From equations (1) & (2)
[tex] \angle 7 \cong \angle 5... (3)[/tex]
(By Transitivity)
[tex] \angle 5 \cong \angle 10... (4)[/tex]
(vertical angles)
From equations (3) & (4)
[tex]\huge \purple {\boxed {\angle 7 \cong \angle 10}} [/tex]
(By Transitivity)
There are several other ways to prove it as well.
