Some steps to construct an angle mnt congruent to angle pqr are listed below. step 3 is not listed: 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. which statement describes step 3 correctly? a. maintaining the same width of the compass as bq, draw an arc from point x such that it intersects the arc drawn from n in a point y. b. use the same width of the compass as the width of nx, and draw an arc from point x such that it intersects the arc drawn from n in a point y. c. use the same width of the compass as aq, and draw an arc from point x which intersects the arc drawn from n in a point y. 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. explain if possible : )

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.

the aswere is the one with all 8's and the second one is with the 10,8 and 6

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.