Question

Need help!
2) m 4) m
Please guide me through how to do this.

Answer 1

∠ BAS = 122° , ∠ N = 89°

Explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(2)

∠ BAS is an exterior angle of the triangle, then

19x + 8 = 6x + 11 + 75

19x + 8 = 6x + 86 ( subtract 6x from both sides )

13x + 8 = 86 ( subtract 8 from both sides )

13x = 78 ( divide both sides by 13 )

x = 6

Then

∠ BAS = 19x + 8 = 19(6) + 8 = 114 + 8 = 122°

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(4)

11x + 31 is an exterior angle of the triangle , so

11x + 31 = 5x - 4 + 10x - 1

11x + 31 = 15x - 5 ( subtract 15x from both sides )

- 4x + 31 = - 5 ( subtract 31 from both sides )

- 4x = - 36 ( divide both sides by - 4 )

x = 9

Then

∠ N = 10x - 1 = 10(9) - 1 = 90 - 1 = 89°