Answer:
m∠1= 41°
m∠2= 85°
m∠3= 95°
m∠4= 85°
m∠5= 36°
m∠6= 49°
m∠7= 106°
Explanation:
To find m∠2
95+m∠2= 180
-95 - 95
m∠2= 85
To find m∠4
Since they are vertical angles, m∠2=m∠4, that means that they are both 85°
To find m∠1
There is four angles in this shape, so the sum is 360 degrees.
90+144+85+m∠1= 360
319+m∠1= 360
-319 -319
m∠1= 41°
To find m∠5
144+m∠5= 180
-144 -144
m∠5= 36°
To find m∠6
m∠5+m∠3+m∠6= 180
36+95+m∠6= 180
131+m∠6= 180
-131 -131
m∠= 49°
To find m∠7
You need to find the sum of the other unidentified angle.
m∠6+m∠=180
49+m∠= 180
-49 -49
m∠= 131
Now you need to find the sum of all the angles in the quadrilateral to get the measure for angle 7.
131+38+85+m∠7= 360
254+m∠7= 360
-254 -254
m∠= 106°