If ab is parallel to cd, what reason supports angle g = angle h

• An angle is formed when two lines or rays or line segments meet or

intersect.

• When the sum of the measures of two angles is 90°, the angles are

called complementary angles. Each of them is called complement of

the other.

• When the sum of the measures of two angles is 180°, the angles are

called supplementary angles. Each of them is called supplement of

the other.

• Two angles are called adjacent angles, if they have a common vertex

and a common arm but no common interior points.

• A linear pair is a pair of adjacent angles whose non-common sides

are opposite rays.

• When two lines intersect, the vertically opposite angles so formed

are equal.

• When two lines are intersected by a transversal, eight angles are

formed. These angles can be classified as 4 interior angles, 4 exterior

angles, 4 pairs of corresponding angles, 2 pairs of alternate interior

angles, 2 pairs of alternate exterior angles and two pairs of interior

angles on the same side of the transversal

Step-by-step explanation:

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

~

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.