What is measure angle 2 in this parallelogram?
A parallelogram is shown with the diagonal drawn from the top left vertex to the bottom right vertex.· The angle formed by the diagonal and the left side of the parallelogram is labeled 50 degree-sign.
· The angle formed by the diagonal and the top side of the parallelogram is labeled 2.
· The angle formed by the diagonal and the right side of the parallelogram is labeled 1.
· The top right angle of the parallelogram is labeled 115 degree-sign.
(1 point)
Responses
115o
115 o
50o
50 o
15o
15 o
2o
The measure of angle 2 in this parallelogram is 15 degrees.
To find the measure of angle 2 in the parallelogram, we need to use the properties of parallelograms. One important property is that opposite angles in a parallelogram are congruent.
In the given parallelogram, we are given that the top right angle is 115 degrees. Since opposite angles are congruent, the bottom left angle is also 115 degrees.
Now, let's consider the angle formed by the diagonal and the top side of the parallelogram. This angle is labeled as 2.
Since the opposite angle, which is the bottom right angle, is 115 degrees, we can conclude that angle 2 is also 115 degrees.
Therefore, the measure of angle 2 in the parallelogram is 115 degrees.