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 $82^{\circ}$ $82^@$ is $98^{\circ}$ $98^@$

As shown below, the supplement of an angle, $θ^{\circ}$ $theta^@$ is $180 - θ^{\circ}$ $180 - theta^@$

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

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

So in this, we can switch $θ$ $theta$ for $82^{\circ}$ $82^@$

$θ + α = 180$ $theta + alpha = 180$

$82 + α = 180$ $82 + alpha = 180$

$180 - 82 = α$ $180 - 82 = alpha$

$α = 98^{\circ}$ $color(blue)(alpha = 98^@$

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