Question

Диагонали прямоугольника abcd пересекаются в точке о угол а о б равен 36 градусам найти угол а о д

Answer 1

Рисунок сами накидаете.
Угол ВD-диагональ,угол ВОD-развернутый(ВОD=180градусов)
тогда угол АОD равен:
$\angle AOD =\angle BOD-\angle AOB=180^0-36^0=144^0$

Answer 2

Так как смежные углы в сумме дают 180 гр, следует 180-36=144гр оад. боа и аод смежные

Answer 3

Calculating Angle AOD

To find the measure of angle AOD, we can use the fact that the diagonals of a rectangle bisect each other. This means that each diagonal is split into two equal parts. Given that angle AOB is 36 degrees, we can calculate angle AOD using the following steps:

1. Calculate the measure of angle BOA: - The sum of angles in a triangle is 180 degrees. - Therefore, angle BOA = 180 - 36 = 144 degrees.

2. Calculate the measure of angle AOD: - Since the diagonals of a rectangle bisect each other, angle AOD is equal to angle BOA. - Thus, angle AOD = 144 degrees.

Therefore, angle AOD is 144 degrees.

If you have any further questions or need additional assistance, feel free to ask!