Question

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Answer 1

Answer: 139°

Reasoning:

Angle 3 and 5 are congruent, so you can put their expressions equal to each other and solve.

14x-1=9x+14

To isolate the x to one side, subtract the 9x from the 14x.

5x-1=14

Now to get the constants on one side, add the 1 to the 14.

5x=15

Now divide both sides by 5 to isolate the x.

5x/5=15/5

x=3

Now that we know that, we can figure out angle 3.

9(3)+14

27+14= 41

Angle 3 = 41°

Now that we know what angle 3 is, we can subtract it from 180° to figure out angle 8 since angle 3 and 8 are supplemtary angles, aka linear pairs.

180°- 41°= 139°

Double checking your answer:

41°+139°=180°