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Two supplementary angles add up to 180°. So the measure of the angle supplementary to 38° is 142°.

Answer:

The larger angle is [tex]142[/tex] degree

Explanation:

The sum of supplementary angle is [tex]180 [/tex] degree.

Given

Angle [tex]A = 38[/tex] degree

Let the other angle be "B"

Angle [tex]A + [/tex]Angle [tex]B[/tex][tex]= 180[/tex]degree

[tex]38 + B = 180\\B = 180 - 38\\B = 142[/tex] degree

The larger angle is [tex]142[/tex] degree.

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