Question

Find the measure of angle A.

Answer 1

Angle A has a measure of 60 degrees.

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:

`7y+75`

After that, you would subtract that amount from 180, since the angle sum of all regular triangles is 180. Solve algebraically.

`7y+75=180`

`7y=105`

`y=15`

Since angle A is
`4y`, you would multiply 15 by 4 to get 60, which is the measure of angle A.

Answer 2

Angle A = 60 degrees

Explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

116 = 3y+11 +4y

Combine like terms

116 = 7y+ 11

Subtract 11 from each side

116-11 = 7y+11-11

105 = 7y

Divide each side

105/7 = 7y/7

15 =y

Angle A = 4y

= 4*15

= 60