Question

Прямые AB, CD и MК пересекаются в точке О <AOC = 70° , <MOB = 15°. Найдите <DOK, <AM и <AOD.

Answer 1

<DOK=95°, < AOM=165°, <AOD=110°

Answer 2

Finding Angles

To find the angles <DOK, <AM, and <AOD, we can use the given information about the intersecting lines and angles.

First, let's find <DOK: - We know that <AOC = 70° and <MOB = 15°. - The sum of angles around a point is 360°, so <AOC + <MOB + <DOK = 360°. - Therefore, <DOK = 360° - <AOC - <MOB.

Next, let's find <AM: - <AM is an alternate angle to <AOC, so <AM = <AOC = 70°.

Finally, let's find <AOD: - <AOD is a vertical angle to <AOC, so <AOD = <AOC = 70°.

Let's calculate these angles.