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12 votes
12 votes
Find the measure of

Find the measure of-example-1
User Dave Bettin
by
2.6k points

1 Answer

20 votes
20 votes

Answer:

<MON = 102°

Explanation:

Alternative Interior Angles so both of those angle equal to each other.

(12x + 30) = (9x + 48)

Get x to one side by subtracting.

12x - 9x + 30 = 48

3x + 30 = 48

Subtract 30 to both side to get x by itself.

3x = 18

Divide 3 to both side to solve for x.

x = 6

Plug x = 6 into <MON = (9x + 48)

9*6 + 48 = 54 + 48 = 102°

User Marko Savic
by
3.2k points
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