Quadrilateral ABCD is a rectangle.
1 answer:
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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:
<u>The Complete/Correct Question Reads:</u>
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 <u>our Supplementary angle pairs</u> are:
∠1 and
So let us start solving.
∠1
∠2
∠3
∠2
Then, we have
∠1
∠2 =
∠3
∠2
<u>So subtracting </u><u>∠2 from each side we have</u>:
∠1
∠2
∠2 =
∠3
∠2
∠2
∠1
∠3 OR
∠1 ≅
∠3
<u>So your paragraph will be:</u>
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.