The diagonals of the rectangle, ABCD, meet at point O. Find the angle between the diagonals if the angle ABO = 30 degrees.
| December 3, 2020 | education
angles AВO and СOD are vertical, therefore, they are equal and equal to 30 °.
the angles AOB and AOD are adjacent and equal 180 ° in total. It turns out that in order to find the angle of AOD, it is necessary to subtract 30 ° from 180 °.
It turns out:
AOD = 180 ° -30 ° = 150 °
AOD = VOS (as vertical) = 150 °
Answer: 150 °.
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