The measure of an angle is 82°. What is the measure of its supplement?

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Answer 1 · 2017-05-28T10:51:49

The measure of the supplement of #82^@# is #98^@#

As shown below, the supplement of an angle, #theta^@# is #180 - theta^@#

In this explanation, we will call the Supplement of theta, #alpha#

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In this explanation, we will call the Supplement of theta #alpha#

So in this, we can switch #theta# for #82^@#

#theta + alpha = 180#

#82 + alpha = 180#

# 180 - 82 = alpha#

#color(blue)(alpha = 98^@#

#therefore# The measure of the supplement of #82^@# is #98^@#