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WINSTONCH
2 months ago
6

(Geometry) Explain how you can use a straightedge and a compass to construct an angle that is both congruent and adjacent to a g

iven angle.
Mathematics
2 answers:
Zina [12.3K]2 months ago
8 0

Answer:

To replicate an angle congruent and adjacent to angle ABC, place the compass at point B and draw an arc exceeding twice the angle size. This arc will intersect segments BA and BC, which we will denote as D and E. Adjust the compass from D to E and create another arc from point D that intersects the first arc at F. Now, use the straightedge to connect B to F, extending it to a new point G such that its length mirrors AB and BC. You’ll achieve angle ABG with B as its vertex that is both adjacent and congruent to ABC.


Svet_ta [12.7K]2 months ago
6 0
<span>Utilize a straightedge to sketch two lines that run parallel to each other, and then draw a perpendicular line that intersects them. Subsequently, use a compass to gauge the angles, which should be both congruent and adjacent.

</span>Create an arc across the sides of the angle, letting it meet the rays at points A and B. Extend the arc beyond B for a bit more distance.

<span>Position the compass at point B, adjusting it to the length of AB. </span>

<span>While still centered at B, draw an arc that intersects the first arc we made at a new point, which we will call C.</span>

<span>Consequently, you’ll have AB = BC.</span>

<span>Given that OA=OB=OC, the angles AOB and BOC will be congruent.</span>
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Step-by-step explanation:

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