natashawetzel188 natashawetzel188

04-09-2017
Mathematics

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Two angles form a linear pair. the measure of one angle is 26∘26∘ greater than the measure of the other angle. find the measure of each angle.

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barnuts barnuts

15-09-2017

A linear pair means that the sum of the angles is 180 degrees.

Therefore:

a + b = 180°

We know that:

a = b + 26°

Therefore:

b + 26 + b = 180

2b = 154

b = 77°

So,

a = b + 26 = 103°

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