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.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.