Assume lines c and d are parallel and 2 measures 98°. which statements are true?

check all that apply.

3 = 6 = 98°

3 = 14 = 98°

4 = 8 = 82°

4 = 12 = 82°

5 = 8 = 82°

The correct options are  1, 3 and 5.

Step-by-step explanation:

It is given the  lines c and d are parallel and .

The lines a and b are transversal lines.

If line b is a transversal line, then all corresponding angles are same.

, , and

All alternate interiors angles are same and all alternate angles are same.

, , and ,

Angle 1 and 2 are supplementary angles.

Therefore we can say that

The lines a and b are not parallel to each other, so we cannot find any relationship between another angles which are lie on transversals line a.

Therefore options 1, 3 and 5 are correct.

20

step-by-step explanation:

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.