Below figure represent construction of a Congruent(same) Angle to a given Angle
In the above figure,
we have an Angle ABC and we have to construct a Congruent Angle and this is done in the following steps.
1). Place metal point of compass at B of Angle ABC
2). With convenient radius draw and arc which meet BC at E and BA at D.
3). Now, draw a line segment QR of any convenient length
4). With Q as center draw an arc (of same radius as of step 2), which meet QR at T
5). Measure length between two points D and E with the help of compass
6). And with this length, from point T draw another arc which cut previous arc (of step 4) at point S
7). Join QS and extend it upto point P
Therefore, we get an Angle PQR which is congruent to Angle ABC
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