PLEASE HELP А
(6x-1)
B
20°
с
(x + 14)
What are the measures of angles A and C?
Enter your answers in the boxes.
mLa
mLC =

A = 125

C = 35

Step-by-step explanation:

Since ABC is a triangle, all interior angles will add up to 180°. Therefore, A+B+C=180

Using that, u can substitute in the values of A, B, and C and solve for x:

A + B + C = 180

(6x - 1) + (20) + (x + 14) = 180

6x - 1 + 20 + x + 14 = 180

6x + x - 1 + 20 + 14 = 180

7x + 33 = 180

7x = 180 - 33

7x = 147

7x/7 = 247/7

x = 21

Knowing the value of x you can substitute that into the expressions for A and C, solve, and find their measure:

A = (6x - 1)

= 6(21) - 1

= 126 - 1

= 125

C = (x + 14)

= 21 + 14

= 35

u can check this by adding them all together and seeing if they add up to 180: 125 + 20 + 35 = 180, so that checks out.

hope this helps!

m∠A = 125°

               m∠C = 35°

Step-by-step explanation:

(6x - 1) + 20 + (x + 14) = 180

6x - 1 + 20 + x + 14 = 180

7x + 33 = 180

7x + 33 - 33 = 180 - 33

7x = 147°

7x ÷ 7 = 147 ÷ 7

x = 21

m∠A = (6 · 21 - 1)° = 125°

m∠C = (21 + 14)° = 35°

6 meters

step-by-step explanation: