Answer:
Angle A has a measure of 60 degrees.
Step-by-step explanation:
First, you can find the measure of angle ∠BCA by subtracting 116 from 180, which would get you 64.
Then, you would add all of the measures of the angles together, resulting in the amount of:
[tex]7y+75[/tex]
After that, you would subtract that amount from 180, since the angle sum of all regular triangles is 180. Solve algebraically.
[tex]7y+75=180[/tex]
[tex]7y=105[/tex]
[tex]y=15[/tex]
Since angle A is [tex]4y[/tex], you would multiply 15 by 4 to get 60, which is the measure of angle A.
