If two consecutive angles of a parallelogram are congruent, what is the measure of each angle?

Measure of each angle is 90 degree.

Step-by-step explanation:

Given : If two consecutive angles of a parallelogram are congruent.

To find the measure of each angle:

There are 6 important properties of parallelograms:

let A and D be two consecutive angle.

then, by the given condition

          ......[1]

From the  property of parallelogram:

Consecutive angles are supplementary

Then;

From equation [1];

Combine like terms :

Divide both sides by 2 we get;

Simplify:

From the given property of parallelogram : if one of the angle is right, then all the angles in the parallelogram are right angle.

∴

Therefore, the measure of each angle is

351°f

step-by-step explanation:

she will sew have sewn five dresses   and be 1/3 done with the sixth one in an hour.

step-by-step explanation:

3/4 of an hour=45 mins

lucy makes 1 dress per 11.25 minutes

45 mins+11.25 mins=56.25 mins

60 mins- 56.25 mins=3.75 mins

3.75 mins is 1/3 of of 11.25 mins

therefore she the other 1/3 would be part of the hour and she will have sewn 5 dresses and begun the sixth.

contact me if you have any questions you are welcome.