Question

Find A. Please help me

Answer 1

Answer:85

Explanation:

1) The outside angle (5x) is equal to the sum of the opposite interior angles (57 and 2x), so you solve the equation 5x=57+2x

2) x=19

3) Since 5x and "a" are linear angles, they add up to 180. Solve the equation 5x + a= 180. Substitute 5x for 5(19) and solve.

4) a= 85

Answer 2

Explanation:

5x = 2x + 57 {Exterior angle equal the sum of opposite interior angles}

5x - 2x = 57

3x = 57

x = 57/3

x = 19

5x = 5*19 = 95

5x + a = 180 {linear pair}

95 + a = 180

a = 180 - 95

a = 85