To find the measures of angles 1, 2, and 3 based on your description, it seems we need to use the relationships between the angles.
Let's denote the three angles as follows:
- \( m\angle 1 = x \)
- \( m\angle 2 = 40^\circ \)
- \( m\angle 3 = 40^\circ \)
Finding \( m\angle 1 \)
From the information provided:
- If \( \angle 1 \) is adjacent to \( \angle 2 \) and \( \angle 3 \) and forms a linear pair with one, we can sum angles around a point or along a line to find \( m\angle 1 \).
If \( \angle 1 \) is formed with the \( 85^\circ \) angle we need to consider if the provided \( 40^\circ \) angles are related to it. We can analyze based on the assumption that they probably form a triangle or are related in some manner.
Assuming \( \angle 1 \) and \( 40^\circ \) together with \( 85^\circ \) create an angle measure summing to \( 180^\circ \):
- Calculate \( m\angle 1 \):
\[ m\angle 1 + 40^\circ + 85^\circ = 180^\circ \] \[ m\angle 1 + 125^\circ = 180^\circ \] \[ m\angle 1 = 180^\circ - 125^\circ \] \[ m\angle 1 = 55^\circ \]
So, \( m\angle 1 = 55^\circ \).
Finding \( m\angle 2 \)
Since \( m\angle 2 = 40^\circ \), this value is as given and does not need further calculations.
Finding \( m\angle 3 \)
Similarly, since \( m\angle 3 = 40^\circ \), this value is also as given and does not need further calculations.
Summary of measures
- \( m\angle 1 = 55^\circ \)
- \( m\angle 2 = 40^\circ \)
- \( m\angle 3 = 40^\circ \)
Final Answers
The measure of angle 1 is 55 degrees. The measure of angle 2 is 40 degrees. The measure of angle 3 is 40 degrees.