17.) The optimal depth for a certain reservoir is between 50 and 60 feet (inclusive). Its depth reached a maximum of 64 feet on March 1st, and then began to decrease at a rate of 0.5 foot per
week. The inequality below can be solved for n, the number of weeks after March 1st for which
the reservoir will be at optimal depth.

50 S 64-0.50 s 60

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.

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