How do I find the angle measure for 2?

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

6 0

Answer: 139 degrees

Step-by-step explanation:

First you must find the measure of each angle within the triangle.

82 + (9x-6) + (6x-1) = 180

15x + 75 = 180

15x = 105

x = 7

Plug 7 in for the value of x for the angle adjacent to angle 2

(6(7) - 1)

42-1

41 degrees

Now we know that supplemental angles equal 180 (to form a straight line). We can now calculate the measure of angle 2

180-41 = angle 2

angle 2 = 139 degrees

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