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What is w, m, and n? please show your work and/or explain

What is w, m, and n? please show your work and/or explain-example-1
User Alamin
by
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1 Answer

3 votes

Answer:

w = 102

m = 78

n = 58

Explanation:

∠m is an exterior angle of the triangle on the left

exterior angle = sum of alternate interior angles

m° = 36° + 42°

m = 78

m and w are supplementary angles

m + w = 180

78 + w = 180

w = 180 - 78

w = 102

w is an exterior angle of the triangle on the right

w = n + 44

102 = n + 44

102-44 = n

n = 58

User Delirium
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7.3k points