Question

by the definition of suplementary angles Angle 1+angle 2=______and angle 2+angle 3=_______ than angle 1+ angle 2+ angle 3 by the ______. Subtract angle 2 from each side. You get Angle 1=_____

Answer 1

Answer:

By the definition of supplementary angles, angle 1 + angle 2 = 180° and angle 2 + angle 3 = 180°. Then angle 1 + angle 2 = angle 2 + angle 3 = 180°. Subtract angle 2 from each side. You get angle 1 = angle 3,  or angle 1 ≅ angle 3.

Step-by-step explanation:

The Complete/Correct Question Reads:

By the definition of supplementary angles, angle 1 + angle 2 = _____ and angle 2 + angle 3 = ____ . Then angle 1 + angle 2 = angle 2 + angle 3 ______. Subtract angle 2 from each side. You get angle 1 = ______, or angle 1 ≅ ______.

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By definition we know that if the Sum of Two Angles is Equal to 180° then the angles are Supplementary.

Now looking at the schematic we can see that our Supplementary angle pairs are:

• $m$∠1  and $m$∠2

• $m$∠3 and $m$∠2  

So let us start solving.

$m$∠1  $+$ $m$∠2 $= 180^{o}$

$m$∠3 $+$ $m$∠2 $=180^{o}$

Then, we have

$m$∠1  $+$ $m$∠2 =  $m$∠3 $+$ $m$∠2 $=180^{o}$

So subtracting $m$∠2 from each side we have:

$m$∠1  $+$ $m$∠2 $-$ $m$∠2 =  $m$∠3 $+$ $m$∠2 $-$ $m$∠2

$m$∠1 $=$ $m$∠3  OR  $m$∠1 ≅ $m$∠3  

So your paragraph will be:

By the definition of supplementary angles, angle 1 + angle 2 = 180° and angle 2 + angle 3 = 180°. Then angle 1 + angle 2 = angle 2 + angle 3 = 180°. Subtract angle 2 from each side. You get angle 1 = angle 3,  or angle 1 ≅ angle 3.