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Find A. Please help me

Find A. Please help me-example-1

2 Answers

6 votes

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

User Alapeno
by
7.8k points
7 votes

Answer:

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

User Timothy Klim
by
8.6k points

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