Question

Градусная мера АОС, образованного при пересечении прямых AB и CD в точке О, равна 45 градусов. Найдите градусные меры углов AOD и DOB. Помогите решить пожалуйста.

Answer 1

При пересечении 2-х прямых образуется 4-ре угла, сумма которых равна 360°

Answer 2

Angle Measures in a Quadrilateral

To find the degree measures of angles AOD and DOB in the given problem, we need to understand the properties of angles formed by the intersection of two lines.

When two lines intersect, they form four angles at the point of intersection. These angles are called vertical angles, and they are congruent. In other words, they have the same degree measure.

In the given problem, the angle measure of AOS (angle AOS) is given as 45 degrees. Since AOS and DOB are vertical angles, the degree measure of DOB is also 45 degrees.

To find the degree measure of AOD, we need to use the fact that the sum of the angles in a quadrilateral is always 360 degrees. Since AOS and DOB are both 45 degrees, the sum of their degree measures is 90 degrees.

Therefore, the degree measure of AOD is 360 degrees - 90 degrees = 270 degrees.

To summarize: - The degree measure of AOD is 270 degrees. - The degree measure of DOB is 45 degrees.

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