Question

Abcd-ромб угол A=102 градуса Найти угол AOB

Answer 1

Если АОВ -- угол между диагоналями , то он всегда 90°

Answer 2

To find the angle AOB in the rhombus ABCD, we need to consider the properties of a rhombus. In a rhombus, opposite angles are equal. Therefore, angle AOB is also equal to angle COD.

Since the sum of the angles in a quadrilateral is always 360 degrees, we can find the measure of angle COD as follows:

Let's assume that angle COD is x degrees.

Since the sum of angles around point O is 360 degrees, we can set up the equation:

Angle AOB + Angle BOC + Angle COD + Angle DOC = 360 degrees

Since the rhombus has equal angles, we have:

102 degrees + 180 degrees + x + x = 360 degrees

Solving for x:

2x + 282 = 360

2x = 360 - 282

2x = 78

x = 78 / 2

x = 39

So, angle AOB and angle COD are both 39 degrees.