Answer:
Step-by-step explanation:
<u>Relations Between Angles</u>
We need to recall some properties of the angles to find the angle marked as O. Please refer to the image attached.
First, if two angles O and P are formed from the intersection of a line with a secant line, their sum is 180°.
From the figure, , or equivalently:
Second, if an angle is formed by the intersection of two lines, then the same angle will be formed by the intersection of two lines perpendicular to the original lines.
Angle is formed by the intersection of BC and BA. The segment EA is perpendicular to BC and CD is perpendicular to BA, thus the angle P is congruent to the angle .
It follows that