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The length of the Glenin Blvd road is 1030.77 m.

Step-by-step explanation:

Given,

Length if Main street (b) = 800 m

Length of Oak street (l) = 650 m

To find the length of Glenin Blvd (h) road

The given diagram forms a right angle triangle where Main street is the base, Oak street is the height and Glenin Blvd road is the hypotenuses.

Formula

Pythagoras theorem: b²+l² = h²

So,

h² = 800²+650²

or, h² = 1062500

or, h = 1030.77 (approx)

Hence,

The length of the Glenin Blvd road is 1030.77 m.

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.