Question

Даны две пересекающиеся прямые АВ И СД в точке о Угол АОД равен 53 градусов . найти остальные углы

Answer 1

<DOB = <AOC = 180-53=127 град
<COB = 53 град (как вертикальный)

Answer 2

Given Information

We are given two intersecting lines, AB and CD, which intersect at point O. The angle AOD is given as 53 degrees.

Solution

To find the remaining angles, we can use the properties of intersecting lines and angles.

Angle AOC

Angle AOC is formed by the intersection of lines AB and CD. Since angles on a straight line add up to 180 degrees, we can find angle AOC by subtracting angle AOD from 180 degrees.

Angle AOC = 180 degrees - Angle AOD

Using the given information, we can calculate:

Angle AOC = 180 degrees - 53 degrees = 127 degrees

Angle BOD

Angle BOD is the vertical angle to angle AOC. Vertical angles are congruent, which means they have the same measure. Therefore, angle BOD is also 127 degrees.

Summary of Angles

- Angle AOD = 53 degrees - Angle AOC = 127 degrees - Angle BOD = 127 degrees

Please let me know if there is anything else I can help you with!