Вопрос:

The image contains a geometry problem with angles and some text that is not part of the problem. The geometry problem shows angles with given values and asks for a calculation. The text related to the angles is: \(\angle\) AOM = \(\angle\) LOB. \(\angle\) AOB - ? The given angles are \(\angle\) MOL = 26^{\(\circ\)} and \(\angle\) LOB = 39^{\(\circ\)}.

Ответ:

Решение:

Из рисунка видно, что:

  • \( \angle MOL = 26^{\circ} \)
  • \( \angle LOB = 39^{\circ} \)

Дано, что \( \angle AOM = \angle LOB \).

Следовательно, \( \angle AOM = 39^{\circ} \).

Угол \( \angle AOB \) состоит из углов \( \angle AOM \) и \( \angle MOL \) и \( \angle LOB \).

\( \angle AOB = \angle AOM + \angle MOL + \angle LOB \)

\( \angle AOB = 39^{\circ} + 26^{\circ} + 39^{\circ} \)

\( \angle AOB = 104^{\circ} \)

Ответ: \( \angle AOB = 104^{\circ} \).

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