Answer:
The answer to your question is a ) 127° b) 80°
Step-by-step explanation:
a) We have to consider that the sum of the interior angles in a triangle equals 180°.
Then,
89 + (5x - 7) + [180 - (14x + 1)] = 180
Simplification
89 + 5x - 7 + 180 - 14x - 1 = 180
5x - 14x = 180 - 89 + 7 - 180 + 1
- 9x = -81
x = -81 / -9
x = 9
Exterior angle = 14(9) + 1
= 127°
b) The process is the same that the previous problem
30 + (4x + 2) + [180 - (8 + 6x)] = 180
Simplification
30 + 4x + 2 + 180 - 8 - 6x = 180
4x - 6x = 180' - 30 - 2 + 8 - 180
-2x = -24
x = -24/-2
x = 12
The measure of the external angle is = 8 + 6(12)
= 8 + 72
= 80°
