Pls i will mark brainliest to correct and explain !
(two questions)
which relationship is always true for the angles r, x, y, and z of triangle abc? (first picture)
x + z = y

180 degrees − x = r

x + y + z = 180 degrees

x + y + z = 90 degrees

the figure shows two parallel lines ab and de cut by the transversals ae and bd: (second picture)

which statement best explains the relationship between triangle abc and triangle edc ?

triangle abc is similar to triangle edc , because m∠3 = m∠6 and m∠1 = m∠4

triangle abc is similar to triangle edc , because m∠3 = m∠4 and m∠1 = m∠5

triangle abc is congruent to triangle edc , because m∠3 = m∠4 and m∠1 = m∠5

triangle abc is congruent to triangle edc, because m∠3 = m∠6 and m∠61 = m∠4

1. B

2.B

Step-by-step explanation:

We are given that a triangle ABC with angles r,x,y and z

We have to find the relationship is always true for the angles r,x,y and z of triangle ABC.

From given figure

Substitute the value of r then we get

Hence, option B is true.

2.We are given that two parallel lines AB and DE cut by the transversals AE and BD.

We have to find the best statement which explains the relationship between triangle ABC and triangle EDC

( alternate interior angles )

 ( Alternate interior angle )

 (Vertical opposite angle )

Triangle ABC and triangle EDC are similar because .

Therefore, option B is true.

the answer for this question is : 360°

step-by-step explanation:

we have been given a triangle   we need to tell which one of these is a triangle below to map onto itself.

360° rotation is the complete rotation which eventually leads to the same figure which is given.

the correct will be, that is 360° that will cause the triangle below to map onto itself.

answer: 80,000

step-by-step explanation:

the population doubles every day.

10,000*2=20,000 day 4

20,000*2=40,000 day 5

40,000*2=80,000 day 6