The diagonals of a rectangle ABCD meets at O. If the angle BOC equal to 44 degree, Find other angles.
consecutive angles are supplementary, so the angles are
44,136,44,136
COD = 44 degree ( Vertically opposite angles)
AOB = 180 - 44 = 136 ( linear Pair)
AOB = COD = 135 (VERTICALLY OPPOSITE ANGLES)
To find the other angles of the rectangle, we can use the fact that opposite angles in a rectangle are equal.
Given that angle BOC is 44 degrees, we know that its opposite angle AOD will also be 44 degrees.
Since the opposite angles of a rectangle are also equal, we can conclude that angle BOD is also 44 degrees.
Now, to find the last angle, we use the fact that the sum of the angles in a rectangle is always 360 degrees.
So, we have angles BOC (44 degrees), AOD (44 degrees), and BOD (44 degrees). Let the fourth angle be COD.
To find the measure of COD, we can subtract the sum of the three known angles from 360 degrees:
COD = 360 degrees - (44 degrees + 44 degrees + 44 degrees)
COD = 360 degrees - 132 degrees
COD = 228 degrees
Therefore, the other angles in the rectangle are:
Angle BOC = 44 degrees
Angle AOD = 44 degrees
Angle BOD = 44 degrees
Angle COD = 228 degrees