In parrellogram ABCD,IF DO andCO are the AngleADC angleBCD respecttively,then reflexAngleDoc is equal to

To find the measure of the reflex angle DOC in parallelogram ABCD, we will need to use the properties of parallelograms and angle relationships.

First, let's look at some important properties of parallelograms:

1. Opposite angles in a parallelogram are congruent. This means that angle BCD and angle ADC are equal (angle BCD = angle ADC).

2. The sum of the measures of consecutive angles in a parallelogram is 180 degrees. This means that angle ADC and angle BCD are supplementary (angle ADC + angle BCD = 180 degrees).

Now, let's apply these properties to find the measure of reflex angle DOC:

Since angle ADC and angle BCD are supplementary, we can express angle BCD as 180 degrees minus the measure of angle ADC. In equation form: angle BCD = 180 degrees - angle ADC.

Now, reflex angle DOC is formed by extending sides DC and DO beyond the parallelogram. This means that reflex angle DOC is equal to the sum of angles BCD and ADC.

Using the properties mentioned earlier, we can substitute the values of angle BCD and angle ADC into the equation for reflex angle DOC:

reflex angle DOC = angle BCD + angle ADC
= (180 degrees - angle ADC) + angle ADC
= 180 degrees.

Therefore, the measure of reflex angle DOC in parallelogram ABCD is equal to 180 degrees.