Describe in words the mistake of John in solving for the measure of each interior angle in a regular 13-sided polygon. What should be the correct measure? 180 ( n − 2 ) n n 180(n−2) 180 ( 13 − 2 ) 11 11 180(13−2) 180 ( 11 ) 11 11 180(11) 1980 11 11 1980 180 180

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

they would have to work 32 hours.