Astudent solved this problem by working backward. jared has some flowers. he has 6 more red flowers than yellow flowers. he has twice as many orange flowers as red flowers. he has 4 yellow flowers. how many flowers does jared have altogether? student's solution: jared has 4 yellow flowers. he has 6 more red than yellow flowers (4 + 6 = 10). he has twice as many orange flowers as red flowers (10 × 2 = 20). so jared has 4 + 10 + 20 = 34 flowers. use a similar strategy to solve this problem. kathleen has some balloons. she has 7 more silver balloons than gold balloons. she has 3 times as many bronze balloons as silver balloons. she has 5 gold balloons. how many balloons does kathleen have altogether?

question:

could we have options?

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.